Question

If the hcf of 65 and 117 is of form 67 m - 117 then find the value of m

Answer 1

117=1*65+52

65=1*52+13

52=4*13+0

therefore Hcf 65and 117is 13

65m-117=13

65m=117+13=130

therefore m=130/65=2


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