Is it possible to have two numbers whose HCF is 25 and LCM is 520?

Question:

Is it possible to have two numbers whose HCF is 25 and LCM is 520?

Solution:

​No, it is not possible to have two numbers whose HCF is 25 and LCM is 520.

Since, HCF must be a factor of LCM, but 25 is not a factor of 520.

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