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Find the highest common factor (HCF) of $$56 and $$784.

Question

Find the highest common factor (HCF) of 56 and 784.

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Solution

Sure, here are the steps to find the highest common factor (HCF) of 56 and 784:

Step 1: Write down the prime factors of each number.

  • The prime factors of 56 are 2, 2, 2, 7 (2^3 * 7)
  • The prime factors of 784 are 2, 2, 2, 2, 7, 7 (2^4 * 7^2)

Step 2: Identify the common prime factors.

  • The common prime factors are 2, 2, 2, 7 (2^3 * 7)

Step 3: Multiply the common prime factors together to find the HCF.

  • The HCF is 2 * 2 * 2 * 7 = 56

So, the highest common factor (HCF) of 56 and 784 is 56.

This problem has been solved

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