if the hcf of 65 & 117 can be expressed in the form of 65m – 117 then the value of m is​

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if the hcf of 65 & 117 can be expressed in the form of 65m – 117 then the value of m is​

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Maya 2 months 2021-10-05T04:01:29+00:00 1 Answer 0 views 0

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    2021-10-05T04:02:35+00:00

    Step-by-step explanation:

    H.C.F of 65 and 117 by Euclid’s Division Lemma, we get,

    117 = 65 x 1 + 52

    65 = 52 x 1 + 13

    52 = 13 x 4 + 0

    Therefore HCF(65, 117) = 13

    According to the Question,

    65m - 117 = 13 \\  \\  =  > 65m = 13 + 117 = 130 \\  \\  =  > m =  \frac{130}{65}  = 2

    Therefore the value of m is 2….

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