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

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One of the most important and exam oriented question from real numbers in which we have given the HCF is 18 and LCM is 760 and it is asked to find whether it is possible to have two numbers.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 1B, question no 6


1 Answer

  1. Solution :
    No , it is not possible

    Reason :
    HCF must be a factor of LCM . here 18 is not factor of 760.

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