Question

1. HCF of 144 and 198 is
(a) 9
(b) 18
(c) 6
(d) 12​

Answer 1

Answer:

HCF of 144 and 198 is 18.

(Ramesh Chandra Joshi)

Answer 2

Answer:

Highest Common Factor or HCF is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.

Example:

Consider the two number 8 and 12.

As the highest number that can divide both 8 and 12 is 4.

Therefore, the H.C.F. of 8 and 12 would be 4.

Given numbers: 144 and 198

Let us find the prime factorisation of 144 and 198

144 = 2 × 2 × 2 × 2 ×3 × 3

144 = 2⁴ × 32

198 = 2 × 3 × 3 × 11

198 = 2 × 32 × 11

So,

HCF of (144, 198) = 2 × 3 × 3

HCF of (144, 198) = 18