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

• LCM HCF

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