Question

Find HCF of 65 and 117 and find a pair of integral values of m and n such that HCF=65m+117n.​

Answer 1

Answer:

the answer is m is 2 n is minus 1

Answer 2

Answer:Brainly.in

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CRACYFORSTUDIES

Secondary School Cbse board x 15+8 pts

Find HCF of 65 and 117 and find a pair of integral values of m and n.such that HCF=65m+117n.

by Nikhildcruz3454 17.04.2018

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Safwaan127

Safwaan127Expert

By Euclid's division algorithm

117 = 65x1 + 52.

65 = 52x1 + 13

52 = 13x4 + 0

Therefore 13 is the HCF (65, 117).

Now work backwards:

13 = 65 + 52x(-1)

13 = 65 + [117 + 65x(-1)]x(-1)

13 = 65x(2) + 117x(-1).

∴ m = 2 and n = -1.

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