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2026-01-01
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<p>Last updated on<strong>September 24, 2025</strong></p>
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<p>Last updated on<strong>September 24, 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, to group or arrange items, and to schedule events. In this topic, we will learn about the GCF of 12, 18, and 24.</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, to group or arrange items, and to schedule events. In this topic, we will learn about the GCF of 12, 18, and 24.</p>
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<h2>What is the GCF of 12, 18, and 24?</h2>
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<h2>What is the GCF of 12, 18, and 24?</h2>
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<p>The<a>greatest common factor</a><a>of</a>12, 18, and 24 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>
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<p>The<a>greatest common factor</a><a>of</a>12, 18, and 24 is 6. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>
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<p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of numbers cannot be negative because divisors are always positive.</p>
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<p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of numbers cannot be negative because divisors are always positive.</p>
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<h2>How to find the GCF of 12, 18, and 24?</h2>
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<h2>How to find the GCF of 12, 18, and 24?</h2>
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<p>To find the GCF of 12, 18, and 24, a few methods are described below:</p>
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<p>To find the GCF of 12, 18, and 24, 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><h3>GCF of 12, 18, and 24 by Using Listing of Factors</h3>
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</ul><h3>GCF of 12, 18, and 24 by Using Listing of Factors</h3>
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<p>Steps to find the GCF of 12, 18, and 24 using the listing of<a>factors</a>:</p>
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<p>Steps to find the GCF of 12, 18, and 24 using the listing of<a>factors</a>:</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number. Factors of 12 = 1, 2, 3, 4, 6, 12. Factors of 18 = 1, 2, 3, 6, 9, 18. Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.</p>
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<p><strong>Step 1:</strong>Firstly, list the factors of each number. Factors of 12 = 1, 2, 3, 4, 6, 12. Factors of 18 = 1, 2, 3, 6, 9, 18. Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them. Common factors of 12, 18, and 24: 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 12, 18, and 24: 1, 2, 3, 6.</p>
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<p><strong>Step 3:</strong>Choose the largest factor. The largest factor that all numbers have is 6. The GCF of 12, 18, and 24 is 6.</p>
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<p><strong>Step 3:</strong>Choose the largest factor. The largest factor that all numbers have is 6. The GCF of 12, 18, and 24 is 6.</p>
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<h3>GCF of 12, 18, and 24 Using Prime Factorization</h3>
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<h3>GCF of 12, 18, and 24 Using Prime Factorization</h3>
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<p>To find the GCF of 12, 18, and 24 using the Prime Factorization Method, follow these steps:</p>
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<p>To find the GCF of 12, 18, and 24 using the 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. Prime Factors of 12: 12 = 2 x 2 x 3 = 2² x 3 Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3² Prime Factors of 24: 24 = 2 x 2 x 2 x 3 = 2³ x 3</p>
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<p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number. Prime Factors of 12: 12 = 2 x 2 x 3 = 2² x 3 Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3² Prime Factors of 24: 24 = 2 x 2 x 2 x 3 = 2³ x 3</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors. The common prime factors are: 2 x 3</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors. 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. The Greatest Common Factor of 12, 18, and 24 is 6.</p>
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<p><strong>Step 3:</strong>Multiply the common prime factors. 2 x 3 = 6. The Greatest Common Factor of 12, 18, and 24 is 6.</p>
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<h3>GCF of 12, 18, and 24 Using Division Method or Euclidean Algorithm Method</h3>
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<h3>GCF of 12, 18, and 24 Using Division Method or Euclidean Algorithm Method</h3>
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<p>Find the GCF of 12, 18, and 24 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 12, 18, and 24 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 largest number by one of the smaller numbers. Here, divide 24 by 18. 24 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 24 - (18×1) = 6. The remainder is 6, not zero, so continue the process.</p>
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<p><strong>Step 1:</strong>First, divide the largest number by one of the smaller numbers. Here, divide 24 by 18. 24 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 24 - (18×1) = 6. The remainder is 6, 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 (6). Divide 18 by 6. 18 ÷ 6 = 3 (quotient), remainder = 18 - (6×3) = 0. The remainder is zero, the divisor will become the GCF.</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (6). Divide 18 by 6. 18 ÷ 6 = 3 (quotient), remainder = 18 - (6×3) = 0. The remainder is zero, the divisor will become the GCF.</p>
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<p>The GCF of 12, 18, and 24 is 6.</p>
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<p>The GCF of 12, 18, and 24 is 6.</p>
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<h2>Common Mistakes and How to Avoid Them in GCF of 12, 18, and 24</h2>
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<h2>Common Mistakes and How to Avoid Them in GCF of 12, 18, and 24</h2>
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<p>Finding the GCF of 12, 18, and 24 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>
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<p>Finding the GCF of 12, 18, and 24 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the 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 12 tulips, 18 roses, and 24 daisies. She wants to group them into equal bunches, with the largest number of flowers in each bunch. How many flowers will be in each bunch?</p>
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<p>A gardener has 12 tulips, 18 roses, and 24 daisies. She wants to group them into equal bunches, with the largest number of flowers in each bunch. How many flowers will be in each bunch?</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 12, 18, and 24. GCF of 12, 18, and 24 2 x 3 = 6. There are 6 equal bunches. 12 ÷ 6 = 2 18 ÷ 6 = 3 24 ÷ 6 = 4 There will be 6 bunches, and each bunch gets 2 tulips, 3 roses, and 4 daisies.</p>
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<p>We should find the GCF of 12, 18, and 24. GCF of 12, 18, and 24 2 x 3 = 6. There are 6 equal bunches. 12 ÷ 6 = 2 18 ÷ 6 = 3 24 ÷ 6 = 4 There will be 6 bunches, and each bunch gets 2 tulips, 3 roses, and 4 daisies.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>As the GCF of 12, 18, and 24 is 6, the gardener can make 6 bunches.</p>
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<p>As the GCF of 12, 18, and 24 is 6, the gardener can make 6 bunches.</p>
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<p>Now divide 12, 18, and 24 by 6.</p>
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<p>Now divide 12, 18, and 24 by 6.</p>
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<p>Each bunch gets 2 tulips, 3 roses, and 4 daisies.</p>
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<p>Each bunch gets 2 tulips, 3 roses, and 4 daisies.</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 chef has 12 apples, 18 oranges, and 24 bananas. He wants to arrange them on platters with the same number of fruits on each platter, using the largest possible number of fruits per platter. How many fruits will be in each platter?</p>
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<p>A chef has 12 apples, 18 oranges, and 24 bananas. He wants to arrange them on platters with the same number of fruits on each platter, using the largest possible number of fruits per platter. How many fruits will be in each platter?</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 12, 18, and 24 2 x 3 = 6. So each platter will have 6 fruits.</p>
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<p>GCF of 12, 18, and 24 2 x 3 = 6. So each platter will have 6 fruits.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>There are 12 apples, 18 oranges, and 24 bananas.</p>
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<p>There are 12 apples, 18 oranges, and 24 bananas.</p>
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<p>To find the total number of fruits on each platter, we should find the GCF of 12, 18, and 24.</p>
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<p>To find the total number of fruits on each platter, we should find the GCF of 12, 18, and 24.</p>
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<p>There will be 6 fruits on each platter.</p>
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<p>There will be 6 fruits on each platter.</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 12 meters of red fabric, 18 meters of blue fabric, and 24 meters of green fabric. She wants to cut all 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 12 meters of red fabric, 18 meters of blue fabric, and 24 meters of green fabric. She wants to cut all 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 12, 18, and 24. The GCF of 12, 18, and 24 2 x 3 = 6. The length of each piece is 6 meters.</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 12, 18, and 24. The GCF of 12, 18, and 24 2 x 3 = 6. The length of each piece is 6 meters.</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, first, we need to calculate the GCF of 12, 18, and 24, which is 6.</p>
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<p>For calculating the longest length of the fabric, first, we need to calculate the GCF of 12, 18, and 24, 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 farmer has three fields. One is 12 hectares, another is 18 hectares, and the last one is 24 hectares. He wants to divide them into the largest possible equal plots. What should be the size of each plot?</p>
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<p>A farmer has three fields. One is 12 hectares, another is 18 hectares, and the last one is 24 hectares. He wants to divide them into the largest possible equal plots. What should be the size of each plot?</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 farmer needs the largest plot size. GCF of 12, 18, and 24 2 x 3 = 6. The largest size of each plot is 6 hectares.</p>
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<p>The farmer needs the largest plot size. GCF of 12, 18, and 24 2 x 3 = 6. The largest size of each plot is 6 hectares.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the largest size of each plot for the three fields, which are 12 hectares, 18 hectares, and 24 hectares, respectively, we have to find the GCF of 12, 18, and 24, which is 6 hectares.</p>
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<p>To find the largest size of each plot for the three fields, which are 12 hectares, 18 hectares, and 24 hectares, respectively, we have to find the GCF of 12, 18, and 24, which is 6 hectares.</p>
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<p>The largest size of each plot is 6 hectares.</p>
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<p>The largest size of each plot is 6 hectares.</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 12 and ‘b’ is 6, and the LCM is 36, find ‘b’.</p>
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<p>If the GCF of 12 and ‘b’ is 6, and the LCM is 36, find ‘b’.</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 ‘b’ is 18.</p>
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<p>The value of ‘b’ is 18.</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</p>
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<p>GCF x LCM = product of the numbers</p>
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<p>6 × 36 = 12 × b</p>
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<p>6 × 36 = 12 × b</p>
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<p>216 = 12b</p>
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<p>216 = 12b</p>
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<p>b = 216 ÷ 12</p>
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<p>b = 216 ÷ 12</p>
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<p>= 18.</p>
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<p>= 18.</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 12, 18, and 24</h2>
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<h2>FAQs on the Greatest Common Factor of 12, 18, and 24</h2>
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<h3>1.What is the LCM of 12, 18, and 24?</h3>
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<h3>1.What is the LCM of 12, 18, and 24?</h3>
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<p>The LCM of 12, 18, and 24 is 72.</p>
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<p>The LCM of 12, 18, and 24 is 72.</p>
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<h3>2.Is 12 divisible by 2?</h3>
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<h3>2.Is 12 divisible by 2?</h3>
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<p>Yes, 12 is divisible by 2 because it is an even number.</p>
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<p>Yes, 12 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 24?</h3>
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<h3>4.What is the prime factorization of 24?</h3>
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<p>The prime factorization of 24 is 2³ x 3.</p>
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<p>The prime factorization of 24 is 2³ x 3.</p>
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<h3>5.Are 12, 18, and 24 prime numbers?</h3>
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<h3>5.Are 12, 18, and 24 prime numbers?</h3>
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<p>No, 12, 18, and 24 are not prime numbers because all of them have more than two factors.</p>
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<p>No, 12, 18, and 24 are not prime numbers because all of them have more than two factors.</p>
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<h2>Important Glossaries for GCF of 12, 18, and 24</h2>
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<h2>Important Glossaries for GCF of 12, 18, and 24</h2>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.</li>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.</li>
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</ul><ul><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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</ul><ul><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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</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 18 is divided by 7, the remainder is 4 and the quotient is 2.</li>
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</ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 18 is divided by 7, the remainder is 4 and the quotient is 2.</li>
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</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 12 and 18 is 36.</li>
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</ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 12 and 18 is 36.</li>
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</ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 12, 18, and 24 will be 6, as it is their largest common factor that divides the numbers completely.</li>
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</ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 12, 18, and 24 will be 6, as it is their largest common factor that divides the numbers completely.</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>