Question

LCM of two numbers is 180. Then which of the following is not the HCF of the numbers?

Options

• 45

• 60

• 75

• 90

Answer 1

75

Explanation:

We have,

2	180
2	90
3	45
3	15
5	5
	1

∴ The factors of 180 = 2 × 2 × 3 × 3 × 5

∴ 75 does not divide 180

∴ 75 can not be the HCF of the numbers whose LCM is 180.