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