Q. 38

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

A. 45

B. 60

C. 75

D. 90

Answer :

LCM is the multiple of a number while HCF is the highest factor

Hence, HCF must completely divide the LCM.

A. Since it completely divides (with integer quotient), it may be HCF.

B. Since it completely divides (with integer quotient), it may be HCF.

C. Since the answer is not an integer quotient, it can’t be the HCF.

D. Since it completely divides (with integer quotient), it may be HCF.

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