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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 schedule events. In this topic, we will learn about the GCF of 1 and 3.</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 schedule events. In this topic, we will learn about the GCF of 1 and 3.</p>
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<h2>What is the GCF of 1 and 3?</h2>
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<h2>What is the GCF of 1 and 3?</h2>
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<p>The<a>greatest common factor</a><a>of</a>1 and 3 is 1. 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.</p>
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<p>The<a>greatest common factor</a><a>of</a>1 and 3 is 1. 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.</p>
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<p>The GCF of two numbers cannot be negative because divisors are always positive.</p>
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<p>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 1 and 3?</h2>
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<h2>How to find the GCF of 1 and 3?</h2>
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<p>To find the GCF of 1 and 3, a few methods are described below </p>
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<p>To find the GCF of 1 and 3, 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 1 and 3 by Using Listing of Factors</h2>
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</ul><h2>GCF of 1 and 3 by Using Listing of Factors</h2>
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<p>Steps to find the GCF of 1 and 3 using the listing of<a>factors</a>:</p>
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<p>Steps to find the GCF of 1 and 3 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 1 = 1.</p>
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<p>Factors of 1 = 1.</p>
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<p>Factors of 3 = 1, 3.</p>
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<p>Factors of 3 = 1, 3.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factor of 1 and 3: 1.</p>
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<p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factor of 1 and 3: 1.</p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1.</p>
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<p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<h2>GCF of 1 and 3 Using Prime Factorization</h2>
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<h2>GCF of 1 and 3 Using Prime Factorization</h2>
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<p>To find the GCF of 1 and 3 using the Prime Factorization method, follow these steps:</p>
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<p>To find the GCF of 1 and 3 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</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 1: 1 (since 1 is neither prime nor composite, it has no prime factors).</p>
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<p>Prime Factors of 1: 1 (since 1 is neither prime nor composite, it has no prime factors).</p>
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<p>Prime Factors of 3: 3.</p>
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<p>Prime Factors of 3: 3.</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
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<p><strong>Step 2:</strong>Now, identify the common prime factors There are no common prime factors.</p>
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<p><strong>Step 3:</strong>Since there are no common prime factors, the GCF is 1.</p>
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<p><strong>Step 3:</strong>Since there are no common prime factors, the GCF is 1.</p>
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<h2>GCF of 1 and 3 Using Division Method or Euclidean Algorithm Method</h2>
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<h2>GCF of 1 and 3 Using Division Method or Euclidean Algorithm Method</h2>
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<p>Find the GCF of 1 and 3 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 1 and 3 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 3 by 1 3 ÷ 1 = 3 (<a>quotient</a>),</p>
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<p>Here, divide 3 by 1 3 ÷ 1 = 3 (<a>quotient</a>),</p>
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<p>The<a>remainder</a>is calculated as 3 - (1×3) = 0</p>
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<p>The<a>remainder</a>is calculated as 3 - (1×3) = 0</p>
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<p>The remainder is zero, so the divisor will become the GCF.</p>
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<p>The remainder is zero, so the divisor will become the GCF.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<h2>Common Mistakes and How to Avoid Them in GCF of 1 and 3</h2>
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<h2>Common Mistakes and How to Avoid Them in GCF of 1 and 3</h2>
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<p>Finding the GCF of 1 and 3 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 1 and 3 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 1 rose and 3 tulips. She wants to create bouquets with the largest number of flowers possible in each. How many flowers will be in each bouquet?</p>
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<p>A gardener has 1 rose and 3 tulips. She wants to create bouquets with the largest number of flowers possible in each. How many flowers will be in each bouquet?</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 1 and 3.</p>
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<p>We should find the GCF of 1 and 3.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>There will be 1 bouquet, and each bouquet has 1 rose and 3 tulips.</p>
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<p>There will be 1 bouquet, and each bouquet has 1 rose and 3 tulips.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>As the GCF of 1 and 3 is 1, the gardener can make 1 bouquet.</p>
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<p>As the GCF of 1 and 3 is 1, the gardener can make 1 bouquet.</p>
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<p>Each bouquet gets 1 rose and 3 tulips.</p>
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<p>Each bouquet gets 1 rose and 3 tulips.</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 teacher has 1 book and 3 notebooks. She wants to place them in stacks with the same number of items in each stack, using the largest possible number of items per stack. How many items will be in each stack?</p>
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<p>A teacher has 1 book and 3 notebooks. She wants to place them in stacks with the same number of items in each stack, using the largest possible number of items per stack. How many items will be in each stack?</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 GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>So each stack will have 1 item.</p>
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<p>So each stack will have 1 item.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>There is 1 book and 3 notebooks.</p>
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<p>There is 1 book and 3 notebooks.</p>
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<p>To find the total number of items in each stack, we should find the GCF of 1 and 3.</p>
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<p>To find the total number of items in each stack, we should find the GCF of 1 and 3.</p>
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<p>There will be 1 item in each stack.</p>
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<p>There will be 1 item in each stack.</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 technician has 1 meter of red cable and 3 meters of blue cable. She wants to cut both cables 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 technician has 1 meter of red cable and 3 meters of blue cable. She wants to cut both cables 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 1 and 3.</p>
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<p>For calculating the longest equal length, we have to calculate the GCF of 1 and 3.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The cable is 1 meter long.</p>
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<p>The cable is 1 meter 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 cable, first, we need to calculate the GCF of 1 and 3, which is 1.</p>
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<p>For calculating the longest length of the cable, first, we need to calculate the GCF of 1 and 3, which is 1.</p>
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<p>The length of each piece of the cable will be 1 meter.</p>
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<p>The length of each piece of the cable will be 1 meter.</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 1 cm long and the other 3 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 1 cm long and the other 3 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.</p>
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<p>The carpenter needs the longest piece of wood.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The GCF of 1 and 3 is 1.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<p>The longest length of each piece is 1 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, 1 cm and 3 cm, respectively, we have to find the GCF of 1 and 3, which is 1 cm.</p>
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<p>To find the longest length of each piece of the two wooden planks, 1 cm and 3 cm, respectively, we have to find the GCF of 1 and 3, which is 1 cm.</p>
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<p>The longest length of each piece is 1 cm.</p>
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<p>The longest length of each piece is 1 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 1 and ‘a’ is 1, and the LCM is 3. Find ‘a’.</p>
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<p>If the GCF of 1 and ‘a’ is 1, and the LCM is 3. 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 3.</p>
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<p>The value of ‘a’ is 3.</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>1 × 3 = 1 × a</p>
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<p>1 × 3 = 1 × a</p>
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<p>3 = a</p>
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<p>3 = a</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 1 and 3</h2>
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<h2>FAQs on the Greatest Common Factor of 1 and 3</h2>
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<h3>1.What is the LCM of 1 and 3?</h3>
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<h3>1.What is the LCM of 1 and 3?</h3>
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<h3>2.Is 1 divisible by any number other than itself?</h3>
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<h3>2.Is 1 divisible by any number other than itself?</h3>
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<p>No, 1 is only divisible by itself.</p>
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<p>No, 1 is only divisible by itself.</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 3?</h3>
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<h3>4.What is the prime factorization of 3?</h3>
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<p>The prime factorization of 3 is 3 itself, as it is a prime number.</p>
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<p>The prime factorization of 3 is 3 itself, as it is a prime number.</p>
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<h3>5.Are 1 and 3 prime numbers?</h3>
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<h3>5.Are 1 and 3 prime numbers?</h3>
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<p>1 is not a prime number because it has only one factor, which is itself. 3 is a prime number because it has exactly two distinct positive divisors: 1 and 3.</p>
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<p>1 is not a prime number because it has only one factor, which is itself. 3 is a prime number because it has exactly two distinct positive divisors: 1 and 3.</p>
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<h2>Important Glossaries for GCF of 1 and 3</h2>
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<h2>Important Glossaries for GCF of 1 and 3</h2>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 3 are 1 and 3.</li>
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<ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 3 are 1 and 3.</li>
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</ul><ul><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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</ul><ul><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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</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 factor of 3 is 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 factor of 3 is 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 3 is divided by 2, the remainder is 1.</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 3 is divided by 2, the remainder is 1.</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 1 and 3 is 1, 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 1 and 3 is 1, 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>