Question

Find the HCF of 144, 180 and 192 by Prime Factorization method.

Answer 1

Answer:

We have to find the HCF and LCM of 144, 180, 192

Factors of 144 = 2 × 2 × 2 × 2 × 3 × 3

Factors of 180 = 2 × 2 × 3 × 3 × 5

Factors of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

Common factors of 144, 180, 192 = {2,2,3}

LCM (144,180,192) = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

= 2880

So, HCF(144,180,192) = 2 × 2 × 3 = 12.

Answer 2

Answer:

Answer: Answer. This question had 192 too with 144 and 180. So here is the solution for that. So, HCF(144,180,192) = 2×2×3 = 12.

Explanation: