Two positive integers a and can be written as a =ry and b = xy”, where x and y are prime numbers. Find HCF(a, b) and LCM(a, b). ​

Question

Two positive integers a and can be written as a =ry and b = xy”,
where x and y are prime numbers. Find HCF(a, b) and LCM(a, b).

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Adalynn 1 month 2021-08-19T22:49:36+00:00 1 Answer 0 views 0

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    2021-08-19T22:51:29+00:00

    Step-by-step explanation:

    HCF by using the prime factorization method.

    Step1:

    Find the prime factorization of each of the number

    Step2:

    The product of all common prime factor is the HCF

    Here,

    ⇒a=x×x×y×y

    ⇒b=x×y×y

    common Factors are x×y×y

    Thus ,

    HCF(a,b)=xy

    2

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