Question

Find the HCF of the numbers in each of the following, using the prime factorization method:
1197, 5320, 4389

Answer 1

The given numbers are 1197, 5320, and 4389.
We have:

Now, 1197 = 3 × 3× 7× 19 = 3² × 7 × 19
5320 = 2 × 2 × 2× 5 × 7 × 19 = 2³ × 5 × 7 × 19
4389 = 3 ×7 × 19 × 11
∴ Required HCF = 19 × 7 = 133