The LCM of two numbers is 240 , which of the following cannot be the HCF of the numbers?
(a) 20      (b) 24      (c) 40     (d) 25

Given: LCM of two numbers is 240

To find: The number which cannot be its HCF.
 

Solution:

We know that HCF of two numbers is always a factor of their LCM.

Among the given numbers 20, 24 and 40 are factors of 240.

25 is NOT a factor of 240.

So, 25 cannot be HCF.

Answer is (d)

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Updated on: 10-Oct-2022

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