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Original
2026-01-01
Modified
2026-02-28
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<p>Find the GCF of 65 and 100 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>
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<p>Find the GCF of 65 and 100 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 100 by 65 100 ÷ 65 = 1 (<a>quotient</a>)</p>
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<p>Here, divide 100 by 65 100 ÷ 65 = 1 (<a>quotient</a>)</p>
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<p>The<a>remainder</a>is calculated as 100 - (65×1) = 35</p>
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<p>The<a>remainder</a>is calculated as 100 - (65×1) = 35</p>
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<p>The remainder is 35, not zero, so continue the process</p>
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<p>The remainder is 35, not zero, so continue the process</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (65) by the previous remainder (35)</p>
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<p><strong>Step 2:</strong>Now divide the previous divisor (65) by the previous remainder (35)</p>
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<p>Divide 65 by 35 65 ÷ 35 = 1 (quotient), remainder = 65 - (35×1) = 30</p>
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<p>Divide 65 by 35 65 ÷ 35 = 1 (quotient), remainder = 65 - (35×1) = 30</p>
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<p>The remainder is 30, not zero, so continue the process</p>
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<p>The remainder is 30, not zero, so continue the process</p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (35) by the previous remainder (30)</p>
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<p><strong>Step 3:</strong>Now divide the previous divisor (35) by the previous remainder (30)</p>
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<p>Divide 35 by 30 35 ÷ 30 = 1 (quotient), remainder = 35 - (30×1) = 5</p>
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<p>Divide 35 by 30 35 ÷ 30 = 1 (quotient), remainder = 35 - (30×1) = 5</p>
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<p>The remainder is 5, which is not zero, so continue the process</p>
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<p>The remainder is 5, which is not zero, so continue the process</p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (30) by the remainder (5)</p>
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<p><strong>Step 4:</strong>Now divide the previous divisor (30) by the remainder (5)</p>
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<p>Divide 30 by 5 30 ÷ 5 = 6 (quotient), remainder = 0</p>
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<p>Divide 30 by 5 30 ÷ 5 = 6 (quotient), remainder = 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 65 and 100 is 5.</p>
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<p>The GCF of 65 and 100 is 5.</p>
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