Question

find the hcf by prime fratorisation method 54,126,144​

Answer 1

Answer:

They are all even numbers. Divide each by 2, you get 27, 63, 72.

We know 27, 63, 72 are all multiples of 9 since the sum of the digits of each number is a multiple of 9. (In this case the sum of the digits of each number is 9.) Divide each by 9, you get 3, 7, 8.

3,7,8 has no common factor.

# Therefore the HCF of 54, 126, 144 is 2×9 = 18.

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