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

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One of the most important and conceptual question from real numbers chapter in which we have given HCF is 25 and LCM is 520 and we have to find the possible numbers.

Kindly solve the above problem in detail.

RS Aggarwal, Class 10, chapter 1E, question no 13


1 Answer

  1. We know,

    HCF is always a factor is its LCM.

    Given : HCF is 25 and LCM is 520
    But 25 is not a factor of 520

    It is not possible to have two numbers having HCF is 25 and LCM is 520.

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