Pada artikel Matematika kelas 7 kali ini, kamu akan kembali mempelajari tentang KPK dan FPB, meliputi pengertian, perbedaan, dan contoh soalnya.
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Halo! Bagaimana kabarnya, nih? Masih ingatkah kamu dengan materi yang akan kita bahas kali ini? Pasti masih dong ya, atau jangan-jangan ada yang sudah lupa?
Waduh! Tapi tenang, seperti pada judul artikel kali ini, kita akan kembali mengingat apa itu KPK dan FPB, supaya kamu yang sudah lupa bisa ingat kembali dan bagi yang sudah ingat bisa semakin mantap lagi. Oke?
Kalau begitu, langsung saja yuk, let’s check this out! (sumber: giphy.com)
Pertama-tama, mungkin ada baiknya kita ketahui dulu kali ya apa itu kelipatan dan juga faktor. Kenapa? Karena jika kita sudah tahu apa itu kelipatan dan faktor, maka materi KPK dan FPB ini menjadi lebih mudah untuk kita pahami.
Apa itu Kelipatan?
Kelipatan adalah mengalikan bilangan dengan setiap bilangan asli secara berurutan. Misalnya, kita pilih satu bilangan, yaitu 2. Kemudian, bilangan 2 tersebut kita kalikan dengan bilangan asli secara berurutan, seperti:
2 × 1 = 2
2 × 2 = 4
2 × 3 = 6 … dst.
Jadi, bilangan 2, 4, 6, dan seterusnya merupakan kelipatan dari 2.
Apa itu Faktor?
Faktor adalah bilangan-bilangan yang dapat membagi sampai habis suatu bilangan. Misalnya, kita pilih satu bilangan, yaitu 10. Nah, bilangan 10 ini kira-kira bisa habis dibagi oleh bilangan apa saja, nih? Benar! Bilangan 10 bisa dibagi oleh 1, 2, 5, dan 10. Jadi, 1, 2, 5, dan 10 ini merupakan faktor dari 10.
Oke, sekarang kamu sudah tahu kan apa itu kelipatan dan faktor. Selanjutnya, ayo kita masuk ke materi yang sudah kita tunggu-tunggu dari tadi!
Baca Juga: Pengertian dan Contoh Bilangan Bulat
Apa itu Kelipatan Persekutuan Terkecil (KPK)?
KPK adalah bilangan kelipatan terkecil yang sama dari banyaknya bilangan yang dimaksud. Banyaknya bilangan yang dimaksud ini bisa berupa 2 bilangan, 3 bilangan, dan seterusnya. Contoh:
Kita akan menentukan KPK dari 2 bilangan, yaitu 5 dan 6. Langkah pertama yang kita lakukan adalah mencari kelipatan dari masing-masing bilangan tersebut.
5 = 5, 10, 15, 20, 25, 30, …
6 = 6, 12, 18, 24, 30, …
Setelah itu, kita peroleh kelipatan bilangan terkecil yang sama dari 5 dan 6, yaitu 30. Jadi, KPK dari 5 dan 6 adalah 30.
Apa itu Faktor Persekutuan Terbesar (FPB)?
FPB adalah faktor terbesar yang sama dari banyaknya bilangan yang dimaksud. Sama halnya dengan KPK, banyaknya bilangan yang dimaksud ini bisa berupa 2 bilangan, 3 bilangan, atau lebih. Contoh:
Kita akan mencari nilai FPB dari 2 bilangan, yaitu 12 dan 18. Langkah pertama yang kita lakukan adalah mencari faktor atau bilangan yang dapat membagi habis dari masing-masing bilangan tersebut.
12 = 1, 2, 3, 4, 6, 12.
18 = 1, 2, 3, 6, 9, 18.
Setelah itu, kita peroleh faktor bilangan terbesar yang sama dari 12 dan 18, yaitu 6. Jadi, FPB dari 12 dan 18 adalah 6.
Oke, sekarang kamu sudah ingat kembali kan tentang materi KPK dan FPB ini. Nilai KPK dan FPB ternyata juga dapat dicari dengan cara faktor prima, lho.
Apa sih faktor prima itu? Faktor prima adalah faktor-faktor dari bilangan bulat yang hanya memiliki dua faktor saja, yaitu 1 dan bilangan itu sendiri. Di bawah ini adalah langkah yang bisa kamu lakukan untuk mencari nilai KPK dan FPB dengan faktor prima. Langsung saja yuk kita simak!
Cara Mencari KPK dan FPB dengan Faktor Prima
Misalnya, kita akan mencari nilai KPK dan FPB dari dua bilangan, yaitu 12 dan 18. Caranya, kita buat pohon faktornya terlebih dahulu seperti berikut:
Pohon faktor dari bilangan 12 dan 18.
Selanjutnya, diperoleh faktor prima dari masing-masing bilangan tersebut, yaitu:
12 = 2 × 2 × 3 = 2² × 3
18 = 2 × 3 × 3 = 2 × 3²
Nilai KPK dari 12 dan 18 bisa kamu cari dengan cara sebagai berikut:
Kalau nilai FPB dari 12 dan 18 bisa dicari dengan cara seperti di bawah ini:
Baca Juga: Mengenal Bilangan Rasional dan Irasional
Contoh Soal Mencari KPK dan FPB
Bagaimana, mudah bukan? Oke, sekarang kamu sudah tahu nih bagaimana cara mencari nilai KPK dan FPB dari suatu bilangan. Selanjutnya, supaya kamu semakin mahir lagi, ayo kita latihan soal, ya!
Penyelesaian:
1. Permasalahan pada soal pertama merupakan aplikasi dari materi kelipatan. Jadi, sudah pasti kita bisa menyelesaikan masalah tersebut dengan cara mencari KPK nya terlebih dahulu.
Diperoleh faktor prima dari 6, 4, dan 8 adalah sebagai berikut:
6 = 2 × 3
4 = 2 × 2 = 2²
8 = 2 × 2 × 2 = 2³
Sehingga, KPK dari 6, 4, dan 8 adalah 2³ × 3 = 8 × 3 = 24.
Selanjutnya, diketahui pada tanggal 28 Januari, Felix, Mark, dan Jeno mengunjungi perpustakaan bersama-sama. Jumlah tanggal pada bulan Januari adalah 31. Nah, dari tanggal 28 ke tanggal 31 itu berlangsung 3 hari.
Kemudian, kita kurangkan saja KPK yang sudah kita dapat tadi dengan selisih tanggal dari 28 ke 31 menjadi 24 – 3 = 21. Jadi, Felix, Mark, dan Jeno akan bertemu kembali di tanggal 21 Februari.
Baca Juga: Cara Menyelesaikan Bentuk-Bentuk Aljabar
2. Untuk permasalahan pada soal kedua, ibu Lucas ingin membagi buah-buahan secara merata kepada teman-teman Lucas. Karena ini merupakan masalah pembagian, maka ada hubungannya nih dengan FPB. Jadi, kita bisa mencari nilai FPB nya terlebih dahulu.
Diperoleh faktor prima dari 96, 48, dan 72 adalah sebagai berikut:
96 = 25 × 3
48 = 24 × 3
72 = 2³ × 3²
Sehingga, diperoleh nilai FPB dari 96, 48, dan 72 adalah 2³ × 3 = 8 × 3 = 24.
Berdasarkan nilai FPB tersebut, kita sudah bisa tahu berapa banyak teman Lucas yang akan diberi buah-buahan oleh ibu Lucas. Yap! jumlahnya sebanyak 24 anak.
Kalau kamu mau tahu berapa banyak buah-buahan yang dibagikan secara merata ke anak-anak tersebut, caranya tinggal kamu bagi saja jumlah dari masing-masing buah dengan nilai FPB yang sudah kita peroleh.
Banyak buah rambutan = 96/24 = 4
Banyak buah jeruk = 48/24 = 2
Banyak buah manggis = 72/24 = 3
Jadi, masing-masing anak mendapatkan rambutan sebanyak 4 buah, jeruk sebanyak 2 buah, dan manggis sebanyak 3 buah.
Baca Juga: Cara Menyelesaikan Operasi Perpangkatan pada Bentuk Aljabar
Wah, gampang banget kan materi KPK dan FPB ini. Tapi, materi segampang ini nggak akan bisa kamu kuasai lho jika kamu malas untuk memperbanyak latihan soal. So, jangan malas untuk belajar dan latihan soal ya!
Nah, bagi kamu yang mudah bosan belajarnya, kamu bisa nih gabung di ruangbelajar. Kenapa? Karena di aplikasi yang satu ini kamu bisa belajar lewat video animasi yang keren dan menarik. Eits! nggak hanya itu, di sana ada latihan soalnya juga, lho! Tunggu apalagi, buruan download aplikasinya!
Referensi:
As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VII Semester I. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud.
Sumber Foto:
GIF ‘You got it reaction’ [Daring]. Tautan: https://giphy.com/gifs/college-zero-debt-ohMtDzrhrWgnK (Diakses: 17 Desember 2020)
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<h1 class="content-title">
Penjelasan Lengkap KPK dan FPB, Apa Bedanya Ya? | Matematika Kelas 7 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
<p class="content-info"><span>July 16, 2025 • </span> <span>5 minutes read</span></p>
<br />
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<p style="text-align: justify;"><span style="color: #000000;"><img decoding="async" style="width: 820px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/MAT07%20-%20Perbedaan%20KPK%20&%20FPB-01.jpg" alt="Perbedaan KPK dan FPB" width="820" /></span></p>
<blockquote>
<p style="text-align: center;"><em>Pada <strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-7" rel="noopener">artikel Matematika kelas 7</a></strong> kali ini, kamu akan kembali mempelajari tentang KPK dan FPB, meliputi pengertian, perbedaan, dan contoh soalnya.</em></p>
</blockquote>
<p style="text-align: center;"><span style="color: #000000;">—</span></p>
<p> </p>
<p style="text-align: justify;">Halo! Bagaimana kabarnya, nih? Masih ingatkah kamu dengan materi yang akan kita bahas kali ini? Pasti masih dong ya, atau jangan-jangan ada yang sudah lupa?</p>
<p style="text-align: justify;">Waduh! Tapi tenang, seperti pada judul artikel kali ini, kita akan kembali mengingat apa itu KPK dan FPB, supaya kamu yang sudah lupa bisa ingat kembali dan bagi yang sudah ingat bisa semakin mantap lagi. Oke?</p>
<p style="text-align: center;"><span style="background-color: transparent;"><img decoding="async" style="width: 294px; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/giphy%20(4)-1.gif" alt="KPK dan FPB" width="294" /><br />
</span></p>
<p style="text-align: center;">Kalau begitu, langsung saja yuk, <em>let’s check this out</em>! (sumber: giphy.com)</p>
<p> </p>
<p style="text-align: justify;">Pertama-tama, mungkin ada baiknya kita ketahui dulu kali ya apa itu kelipatan dan juga faktor. Kenapa? Karena jika kita sudah tahu apa itu kelipatan dan faktor, maka materi KPK dan FPB ini menjadi lebih mudah untuk kita pahami.</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Apa itu Kelipatan?</span></h2>
<p style="text-align: justify;">Kelipatan adalah <strong>mengalikan bilangan dengan setiap bilangan asli secara berurutan</strong>. Misalnya, kita pilih satu bilangan, yaitu 2. Kemudian, bilangan 2 tersebut kita kalikan dengan bilangan asli secara berurutan, seperti:</p>
<p style="text-align: center;">2 × 1 = 2</p>
<p style="text-align: center;">2 × 2 = 4</p>
<p style="text-align: center;">2 × 3 = 6 … dst.</p>
<p> </p>
<p style="text-align: justify;">Jadi, bilangan 2, 4, 6, dan seterusnya merupakan kelipatan dari 2.</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Apa itu Faktor?</span></h2>
<p style="text-align: justify;">Faktor adalah <strong>bilangan-bilangan yang dapat membagi sampai habis suatu bilangan</strong>. Misalnya, kita pilih satu bilangan, yaitu 10. Nah, bilangan 10 ini kira-kira bisa habis dibagi oleh bilangan apa saja, nih? Benar! Bilangan 10 bisa dibagi oleh 1, 2, 5, dan 10. Jadi, 1, 2, 5, dan 10 ini merupakan faktor dari 10.<img decoding="async" src="https://docs.google.com/a/ruangguru.com/drawings/d/sPisGyP_-lRcNCTrBuHlqWQ/image?parent=1asrR6sJVnLXY_riqoO5WB2Pzp2R1SDIK1xZTAxMGZcU&rev=112&h=48&w=225&ac=1" alt="" /></p>
<p style="text-align: justify;">Oke, sekarang kamu sudah tahu kan apa itu kelipatan dan faktor. Selanjutnya, ayo kita masuk ke materi yang sudah kita tunggu-tunggu dari tadi!</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="/blog/pengertian-dan-contoh-bilangan-bulat" rel="noopener">Pengertian dan Contoh Bilangan Bulat</a></strong></p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Apa itu Kelipatan Persekutuan Terkecil (KPK)?</span></h2>
<p style="text-align: justify;">KPK adalah <strong>bilangan kelipatan terkecil yang sama dari banyaknya bilangan yang dimaksud</strong>. Banyaknya bilangan yang dimaksud ini bisa berupa 2 bilangan, 3 bilangan, dan seterusnya. Contoh:</p>
<p style="text-align: justify;">Kita akan menentukan KPK dari 2 bilangan, yaitu 5 dan 6. Langkah pertama yang kita lakukan adalah mencari kelipatan dari masing-masing bilangan tersebut.</p>
<p style="text-align: center;">5 = 5, 10, 15, 20, 25, 30, …</p>
<p style="text-align: center;">6 = 6, 12, 18, 24, 30, …</p>
<p> </p>
<p style="text-align: justify;">Setelah itu, kita peroleh kelipatan bilangan terkecil yang sama dari 5 dan 6, yaitu 30. Jadi, KPK dari 5 dan 6 adalah 30.</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Apa itu Faktor Persekutuan Terbesar (FPB)?</span></h2>
<p style="text-align: justify;">FPB adalah <strong>faktor terbesar yang sama dari banyaknya bilangan yang dimaksud</strong>. Sama halnya dengan KPK, banyaknya bilangan yang dimaksud ini bisa berupa 2 bilangan, 3 bilangan, atau lebih. Contoh:</p>
<p style="text-align: justify;">Kita akan mencari nilai FPB dari 2 bilangan, yaitu 12 dan 18. Langkah pertama yang kita lakukan adalah mencari faktor atau bilangan yang dapat membagi habis dari masing-masing bilangan tersebut.</p>
<p style="text-align: center;">12 = 1, 2, 3, 4, 6, 12.</p>
<p style="text-align: center;">18 = 1, 2, 3, 6, 9, 18.</p>
<p> </p>
<p style="text-align: justify;">Setelah itu, kita peroleh faktor bilangan terbesar yang sama dari 12 dan 18, yaitu 6. Jadi, FPB dari 12 dan 18 adalah 6.</p>
<p style="text-align: justify;">Oke, sekarang kamu sudah ingat kembali kan tentang materi KPK dan FPB ini. Nilai KPK dan FPB ternyata juga dapat dicari dengan cara faktor prima, lho.</p>
<p style="text-align: justify;">Apa sih faktor prima itu? <strong>Faktor prima adalah faktor-faktor dari bilangan bulat yang hanya memiliki dua faktor saja, yaitu 1 dan bilangan itu sendiri</strong>. Di bawah ini adalah langkah yang bisa kamu lakukan untuk mencari nilai KPK dan FPB dengan faktor prima. Langsung saja yuk kita simak!</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Cara Mencari KPK dan FPB dengan Faktor Prima</span></h2>
<p style="text-align: justify;">Misalnya, kita akan mencari nilai KPK dan FPB dari dua bilangan, yaitu 12 dan 18. Caranya, kita buat pohon faktornya terlebih dahulu seperti berikut:</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/MAT07%20-%20Perbedaan%20KPK%20&%20FPB-03.jpg" alt="MAT07 - Perbedaan KPK & FPB-03" width="600" /></p>
<div style="text-align: center;">Pohon faktor dari bilangan 12 dan 18.</div>
<div></div>
<p style="text-align: justify;">Selanjutnya, diperoleh faktor prima dari masing-masing bilangan tersebut, yaitu:</p>
<p style="text-align: center;">12 = 2 × 2 × 3 = 2² × 3</p>
<p style="text-align: center;">18 = 2 × 3 × 3 = 2 × 3²</p>
<p> </p>
<p style="text-align: justify;">Nilai KPK dari 12 dan 18 bisa kamu cari dengan cara sebagai berikut:</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/MAT07%20-%20Perbedaan%20KPK%20&%20FPB-04.jpg" alt="Cara Mencari KPK" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Kalau nilai FPB dari 12 dan 18 bisa dicari dengan cara seperti di bawah ini:</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/MAT07%20-%20Perbedaan%20KPK%20&%20FPB-05.jpg" alt="Cara Mencari FPB" width="600" /></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/matematika-kelas-7-mengenal-bilangan-rasional-dan-irasional">Mengenal Bilangan Rasional dan Irasional</a> </strong></p>
<p> </p>
<h2><span style="font-size: 18pt;">Contoh Soal Mencari KPK dan FPB</span></h2>
<p style="text-align: justify;">Bagaimana, mudah bukan? Oke, sekarang kamu sudah tahu nih bagaimana cara mencari nilai KPK dan FPB dari suatu bilangan. Selanjutnya, supaya kamu semakin mahir lagi, ayo kita latihan soal, ya!</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/MAT07%20-%20Perbedaan%20KPK%20&%20FPB-06.jpg" alt="Contoh Soal KPK dan FPB" width="600" /></p>
<p> </p>
<p style="text-align: justify;"><strong>Penyelesaian:</strong></p>
<p style="text-align: justify;">1. Permasalahan pada soal pertama merupakan aplikasi dari materi kelipatan. Jadi, sudah pasti kita bisa menyelesaikan masalah tersebut dengan cara mencari KPK nya terlebih dahulu.</p>
<p style="text-align: justify;">Diperoleh faktor prima dari 6, 4, dan 8 adalah sebagai berikut:</p>
<p style="text-align: center;">6 = 2 × 3</p>
<p style="text-align: center;">4 = 2 × 2 = 2²</p>
<p style="text-align: center;">8 = 2 × 2 × 2 = 2³</p>
<p> </p>
<p style="text-align: justify;">Sehingga, KPK dari 6, 4, dan 8 adalah 2³ × 3 = 8 × 3 = 24.</p>
<p style="text-align: justify;">Selanjutnya, diketahui pada tanggal 28 Januari, Felix, Mark, dan Jeno mengunjungi perpustakaan bersama-sama. Jumlah tanggal pada bulan Januari adalah 31. Nah, dari tanggal 28 ke tanggal 31 itu berlangsung 3 hari.</p>
<p style="text-align: justify;">Kemudian, kita kurangkan saja KPK yang sudah kita dapat tadi dengan selisih tanggal dari 28 ke 31 menjadi 24 – 3 = 21. Jadi, Felix, Mark, dan Jeno akan bertemu kembali di tanggal 21 Februari.</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="/blog/penyelesaian-bentuk-bentuk-aljabar" rel="noopener">Cara Menyelesaikan Bentuk-Bentuk Aljabar</a></strong></p>
<p> </p>
<p style="text-align: justify;">2. Untuk permasalahan pada soal kedua, ibu Lucas ingin membagi buah-buahan secara merata kepada teman-teman Lucas. Karena ini merupakan masalah pembagian, maka ada hubungannya nih dengan FPB. Jadi, kita bisa mencari nilai FPB nya terlebih dahulu.</p>
<p style="text-align: justify;">Diperoleh faktor prima dari 96, 48, dan 72 adalah sebagai berikut:</p>
<p style="text-align: center;">96 = 25 × 3</p>
<p style="text-align: center;">48 = 24 × 3</p>
<p style="text-align: center;">72 = 2³ × 3²</p>
<p> </p>
<p style="text-align: justify;">Sehingga, diperoleh nilai FPB dari 96, 48, dan 72 adalah 2³ × 3 = 8 × 3 = 24.</p>
<p style="text-align: justify;">Berdasarkan nilai FPB tersebut, kita sudah bisa tahu berapa banyak teman Lucas yang akan diberi buah-buahan oleh ibu Lucas. Yap! jumlahnya sebanyak 24 anak.</p>
<p style="text-align: justify;">Kalau kamu mau tahu berapa banyak buah-buahan yang dibagikan secara merata ke anak-anak tersebut, caranya tinggal kamu bagi saja jumlah dari masing-masing buah dengan nilai FPB yang sudah kita peroleh.</p>
<p style="text-align: center;">Banyak buah rambutan = 96/24 = 4</p>
<p style="text-align: center;">Banyak buah jeruk = 48/24 = 2</p>
<p style="text-align: center;">Banyak buah manggis = 72/24 = 3</p>
<p> </p>
<p style="text-align: justify;">Jadi, masing-masing anak mendapatkan rambutan sebanyak 4 buah, jeruk sebanyak 2 buah, dan manggis sebanyak 3 buah.</p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/matematika-kelas-7-cara-menyelesaikan-operasi-perpangkatan-pada-bentuk-aljabar">Cara Menyelesaikan Operasi Perpangkatan pada Bentuk Aljabar</a></strong></p>
<p style="text-align: justify;">Wah, gampang banget kan materi KPK dan FPB ini. Tapi, materi segampang ini nggak akan bisa kamu kuasai lho jika kamu malas untuk memperbanyak latihan soal. <em>So</em>, jangan malas untuk belajar dan latihan soal ya!</p>
<p style="text-align: justify;">Nah, bagi kamu yang mudah bosan belajarnya, kamu bisa nih gabung di <strong><a href="https://www.ruangguru.com/ruangbelajar" target="_blank" rel="noopener">ruangbelajar</a></strong>. Kenapa? Karena di aplikasi yang satu ini kamu bisa belajar lewat video animasi yang keren dan menarik. Eits! nggak hanya itu, di sana ada latihan soalnya juga, lho! Tunggu apalagi, buruan download aplikasinya!</p>
<p><a href="https://www.ruangguru.com/ruangbelajar"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/a2dbab8e-e903-4b70-ae04-39ff5807647e.jpg" alt="CTA ruangbelajar" width="820" /></a></p>
<p style="text-align: justify;"><strong>Referensi:</strong></p>
<p style="text-align: left;">As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VII Semester I. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud.</p>
<p style="text-align: justify;"><strong>Sumber Foto:</strong></p>
<p style="text-align: left;">GIF ‘You got it reaction’ [Daring]. Tautan: https://giphy.com/gifs/college-zero-debt-ohMtDzrhrWgnK (Diakses: 17 Desember 2020)</p>
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<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>