Question

The HCF of 144 and 198 is

विकल्प

• 12

• 16

• 18

• 8

Answer 1

2²×3= 12
We will first factorise the two numbers:

144 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
180 = 2 × 2 × 3 × 3 × 5 = 2² × 3² × 5
192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 2⁶ × 3

Here, 12 (i.e. 2²× 3 = 12) is the highest common factor of the three numbers.