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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share items equally, group or arrange items, and schedule events. In this topic, we will learn about the GCF of 18 and 48.</p>
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<p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share items equally, group or arrange items, and schedule events. In this topic, we will learn about the GCF of 18 and 48.</p>
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<h2>What is the GCF of 18 and 48?</h2>
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<h2>What is the GCF of 18 and 48?</h2>
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<p>The<a>greatest common factor</a>of 18 and 48 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers. If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>
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<p>The<a>greatest common factor</a>of 18 and 48 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers. If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>
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<h2>How to find the GCF of 18 and 48?</h2>
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<h2>How to find the GCF of 18 and 48?</h2>
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<p>To find the GCF of 18 and 48, a few methods are described below:</p>
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<p>To find the GCF of 18 and 48, a few methods are described below:</p>
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<ul><li>Listing Factors</li>
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<ul><li>Listing Factors</li>
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<li>Prime Factorization</li>
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<li>Prime Factorization</li>
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<li>Long Division Method / by Euclidean Algorithm</li>
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<li>Long Division Method / by Euclidean Algorithm</li>
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</ul><h2>GCF of 18 and 48 by Using Listing of Factors</h2>
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</ul><h2>GCF of 18 and 48 by Using Listing of Factors</h2>
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<p>Steps to find the GCF of 18 and 48 using the listing of<a>factors</a>:</p>
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<p>Steps to find the GCF of 18 and 48 using the listing of<a>factors</a>:</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number</p>
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<p>Factors of 18 = 1, 2, 3, 6, 9, 18.</p>
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<p>Factors of 18 = 1, 2, 3, 6, 9, 18.</p>
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<p>Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.</p>
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<p>Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 18 and 48: 1, 2, 3, 6.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 18 and 48: 1, 2, 3, 6.</p>
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<p><strong>Step 3:</strong>Choose the largest factor</p>
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<p><strong>Step 3:</strong>Choose the largest factor</p>
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<p>The largest factor that both numbers have is 6.</p>
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<p>The largest factor that both numbers have is 6.</p>
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<p>The GCF of 18 and 48 is 6.</p>
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<p>The GCF of 18 and 48 is 6.</p>
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<h2>GCF of 18 and 48 Using Prime Factorization</h2>
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<h2>GCF of 18 and 48 Using Prime Factorization</h2>
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<p>To find the GCF of 18 and 48 using Prime Factorization Method, follow these steps:</p>
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<p>To find the GCF of 18 and 48 using Prime Factorization Method, follow these steps:</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>
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<p>Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</p>
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<p>Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</p>
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<p>Prime Factors of 48: 48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3</p>
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<p>Prime Factors of 48: 48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors</p>
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<p>The common prime factors are: 2 x 3</p>
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<p>The common prime factors are: 2 x 3</p>
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<p><strong>Step 3:</strong>Multiply the common prime factors 2 x 3 = 6.</p>
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<p><strong>Step 3:</strong>Multiply the common prime factors 2 x 3 = 6.</p>
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<p>The Greatest Common Factor of 18 and 48 is 6.</p>
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<p>The Greatest Common Factor of 18 and 48 is 6.</p>
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<h2>GCF of 18 and 48 Using Division Method or Euclidean Algorithm Method</h2>
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<h2>GCF of 18 and 48 Using Division Method or Euclidean Algorithm Method</h2>
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<p>Find the GCF of 18 and 48 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 18 and 48 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p><strong>Step 1:</strong>First, divide the larger number by the smaller number</p>
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<p><strong>Step 1:</strong>First, divide the larger number by the smaller number</p>
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<p>Here, divide 48 by 18 48 ÷ 18 = 2 (<a>quotient</a>)</p>
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<p>Here, divide 48 by 18 48 ÷ 18 = 2 (<a>quotient</a>)</p>
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<p>The<a>remainder</a>is calculated as 48 - (18 x 2) = 12</p>
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<p>The<a>remainder</a>is calculated as 48 - (18 x 2) = 12</p>
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<p>The remainder is 12, not zero, so continue the process</p>
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<p>The remainder is 12, not zero, so continue the process</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (12)</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (12)</p>
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<p>Divide 18 by 12 18 ÷ 12 = 1 (quotient), remainder = 18 - (12 x 1) = 6</p>
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<p>Divide 18 by 12 18 ÷ 12 = 1 (quotient), remainder = 18 - (12 x 1) = 6</p>
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<p>The remainder is 6, not zero, so continue the process</p>
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<p>The remainder is 6, not zero, so continue the process</p>
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<p><strong>Step 3:</strong>Divide 12 by 6 12 ÷ 6 = 2 (quotient), remainder = 12 - (6 x 2) = 0</p>
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<p><strong>Step 3:</strong>Divide 12 by 6 12 ÷ 6 = 2 (quotient), remainder = 12 - (6 x 2) = 0</p>
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<p>The remainder is zero, the divisor will become the GCF.</p>
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<p>The remainder is zero, the divisor will become the GCF.</p>
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<p>The GCF of 18 and 48 is 6.</p>
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<p>The GCF of 18 and 48 is 6.</p>
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<h2>Common Mistakes and How to Avoid Them in GCF of 18 and 48</h2>
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<h2>Common Mistakes and How to Avoid Them in GCF of 18 and 48</h2>
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<p>Finding the GCF of 18 and 48 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by students.</p>
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<p>Finding the GCF of 18 and 48 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by students.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A gardener has 18 rose bushes and 48 tulip bushes. He wants to plant them in rows with the same number of bushes, using the largest possible number of bushes per row. How many bushes will be in each row?</p>
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<p>A gardener has 18 rose bushes and 48 tulip bushes. He wants to plant them in rows with the same number of bushes, using the largest possible number of bushes per row. How many bushes will be in each row?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We should find the GCF of 18 and 48 GCF of 18 and 48 2 x 3 = 6.</p>
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<p>We should find the GCF of 18 and 48 GCF of 18 and 48 2 x 3 = 6.</p>
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<p>So each row will have 6 bushes.</p>
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<p>So each row will have 6 bushes.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>As the GCF of 18 and 48 is 6, the gardener can make rows with 6 bushes each.</p>
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<p>As the GCF of 18 and 48 is 6, the gardener can make rows with 6 bushes each.</p>
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<p>There will be 3 rows of rose bushes and 8 rows of tulip bushes.</p>
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<p>There will be 3 rows of rose bushes and 8 rows of tulip bushes.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>A bakery has 18 chocolate cakes and 48 vanilla cakes. They want to arrange them into boxes with the same number of cakes in each box, using the largest possible number of cakes per box. How many cakes will be in each box?</p>
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<p>A bakery has 18 chocolate cakes and 48 vanilla cakes. They want to arrange them into boxes with the same number of cakes in each box, using the largest possible number of cakes per box. How many cakes will be in each box?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>GCF of 18 and 48 2 x 3 = 6. So each box will have 6 cakes.</p>
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<p>GCF of 18 and 48 2 x 3 = 6. So each box will have 6 cakes.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>There are 18 chocolate and 48 vanilla cakes.</p>
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<p>There are 18 chocolate and 48 vanilla cakes.</p>
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<p>To find the total number of cakes in each box, we should find the GCF of 18 and 48.</p>
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<p>To find the total number of cakes in each box, we should find the GCF of 18 and 48.</p>
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<p>There will be 6 cakes in each box.</p>
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<p>There will be 6 cakes in each box.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>A tailor has 18 meters of green fabric and 48 meters of blue fabric. She wants to cut both fabrics into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>
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<p>A tailor has 18 meters of green fabric and 48 meters of blue fabric. She wants to cut both fabrics into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 18 and 48</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 18 and 48</p>
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<p>The GCF of 18 and 48</p>
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<p>The GCF of 18 and 48</p>
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<p>2 x 3 = 6.</p>
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<p>2 x 3 = 6.</p>
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<p>The fabric pieces will be 6 meters long.</p>
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<p>The fabric pieces will be 6 meters long.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>For calculating the longest length of the fabric pieces, first, we need to calculate the GCF of 18 and 48, which is 6.</p>
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<p>For calculating the longest length of the fabric pieces, first, we need to calculate the GCF of 18 and 48, which is 6.</p>
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<p>The length of each piece of fabric will be 6 meters.</p>
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<p>The length of each piece of fabric will be 6 meters.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>A carpenter has two wooden planks, one 18 cm long and the other 48 cm long. He wants to cut them into the longest possible equal pieces without any wood left over. What should be the length of each piece?</p>
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<p>A carpenter has two wooden planks, one 18 cm long and the other 48 cm long. He wants to cut them into the longest possible equal pieces without any wood left over. What should be the length of each piece?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The carpenter needs the longest piece of wood GCF of 18 and 48 2 x 3 = 6.</p>
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<p>The carpenter needs the longest piece of wood GCF of 18 and 48 2 x 3 = 6.</p>
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<p>The longest length of each piece is 6 cm.</p>
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<p>The longest length of each piece is 6 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the longest length of each piece of the two wooden planks, 18 cm and 48 cm, respectively.</p>
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<p>To find the longest length of each piece of the two wooden planks, 18 cm and 48 cm, respectively.</p>
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<p>We have to find the GCF of 18 and 48, which is 6 cm.</p>
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<p>We have to find the GCF of 18 and 48, which is 6 cm.</p>
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<p>The longest length of each piece is 6 cm.</p>
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<p>The longest length of each piece is 6 cm.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>If the GCF of 18 and ‘a’ is 6, and the LCM is 144, find ‘a’.</p>
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<p>If the GCF of 18 and ‘a’ is 6, and the LCM is 144, find ‘a’.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The value of ‘a’ is 48.</p>
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<p>The value of ‘a’ is 48.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>GCF x LCM = product of the numbers 6 x 144 = 18 x a</p>
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<p>GCF x LCM = product of the numbers 6 x 144 = 18 x a</p>
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<p>864 = 18a</p>
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<p>864 = 18a</p>
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<p>a = 864 ÷ 18 = 48</p>
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<p>a = 864 ÷ 18 = 48</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on the Greatest Common Factor of 18 and 48</h2>
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<h2>FAQs on the Greatest Common Factor of 18 and 48</h2>
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<h3>1.What is the LCM of 18 and 48?</h3>
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<h3>1.What is the LCM of 18 and 48?</h3>
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<p>The LCM of 18 and 48 is 144.</p>
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<p>The LCM of 18 and 48 is 144.</p>
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<h3>2.Is 18 divisible by 2?</h3>
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<h3>2.Is 18 divisible by 2?</h3>
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<p>Yes, 18 is divisible by 2 because it is an even number.</p>
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<p>Yes, 18 is divisible by 2 because it is an even number.</p>
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<h3>3.What will be the GCF of any two prime numbers?</h3>
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<h3>3.What will be the GCF of any two prime numbers?</h3>
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<p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>
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<p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>
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<h3>4.What is the prime factorization of 48?</h3>
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<h3>4.What is the prime factorization of 48?</h3>
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<p>The prime factorization of 48 is 2⁴ x 3.</p>
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<p>The prime factorization of 48 is 2⁴ x 3.</p>
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<h3>5.Are 18 and 48 prime numbers?</h3>
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<h3>5.Are 18 and 48 prime numbers?</h3>
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<p>No, 18 and 48 are not prime numbers because both of them have more than two factors.</p>
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<p>No, 18 and 48 are not prime numbers because both of them have more than two factors.</p>
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<h2>Important Glossaries for GCF of 18 and 48</h2>
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<h2>Important Glossaries for GCF of 18 and 48</h2>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 6 are 1, 2, 3, and 6.</li>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 6 are 1, 2, 3, and 6.</li>
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<li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, and so on.</li>
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<li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, and so on.</li>
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<li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 18 are 2 and 3.</li>
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<li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 18 are 2 and 3.</li>
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<li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 10 is divided by 3, the remainder is 1 and the quotient is 3.</li>
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<li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 10 is divided by 3, the remainder is 1 and the quotient is 3.</li>
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<li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 18 and 48 is 144.</li>
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<li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 18 and 48 is 144.</li>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>