What is the greatest number which exactly divides 110, 154 and 242?

Solution

The required number is the HCF of 110, 154 and 242.

Prime factorization of numbers is:

110 = 2 × 5 × 11

154 = 2 × 7 × 11

242 = 2 × 11 × 11

∴ HCF = 2 × 11 = 22