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Find the highest common factor of $$126, $$252, and $$315.

Question

Find the highest common factor of 126, 252, and 315.

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Solution

Sure, here are the steps to find the highest common factor (HCF) of 126, 252, and 315:

Step 1: Prime factorization of the numbers

  • Prime factorization of 126 = 2 * 3^2 * 7
  • Prime factorization of 252 = 2^2 * 3^2 * 7
  • Prime factorization of 315 = 3^2 * 5 * 7

Step 2: Identify the common factors The common factors are 3^2 and 7.

Step 3: Multiply the common factors Multiply the common factors to get the HCF. So, 3^2 * 7 = 9 * 7 = 63.

Therefore, the highest common factor of 126, 252, and 315 is 63.

This problem has been solved

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