Question

The LCM of two numbers is 1200. Show that the HCF of these numbers
cannot be 500. Why?​

Answer 1

Step-by-step explanation:

If the LCM of two numbers is 1200 then, it is not possible to have their HCF equals to 500. Since, HCF must be a factor of LCM, but 500 is not a factor of 1200

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Answer 2

Hey Buddy!

Here's your answer:

We know that LCM is a common multiple and HCF is a factor of the given numbers.

Thus, HCF is always a factor of LCM.

In this case,

LCM = 1200

So, HCF should be a factor of LCM

But if LCM is 1200, HCF cannot be 500 as it is not a factor of 1200.

Hope it helped ya!