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Is It Possible to Have Two Numbers Whose Hcf is 18 and Lcm is 760? Give Reason. - Mathematics

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Is it possible to have two numbers whose HCF is 18 and LCM is 760?
Give reason.

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Solution

No, it is not possible to have two numbers whose HCF is 18 and LCM is 760.
Since, HCF must be a factor of LCM, but 18 is not factor of 760.

Concept: Euclid’s Division Lemma
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