Question

Find the HCF of the numbers in each of the following, using the prime factorization method:
144, 252, 630

Answer 1

The given numbers are 144, 252, and 630.
We have:

Now, 144 = 2 × 2× 2 × 2× 3 × 3
252 = 2 ×2 × 3× 3 × 7
630 = 2 ×3 × 3× 5 × 7
∴ HCF = 2 × 3 × 3 =18