Question 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

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Solution

LCM must be divisible by HCF. Let us apply the method of elimination to derive at the final answer. Check each option whether they divide 180.
180 is divisible by 45, 60 and 90.

However, 180 is not divisible by 75.
Therefore the option C is not the HCF.

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