If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m
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find the HCF of 65 and 117,
117 = 1×65 + 52
65 = 1× 52 + 13
52 = 4 ×13 + 0
∴ HCF of 65 and 117 is 13.
65m - 117 = 13
65m = 117+13 = 130
∴m =130/65 = 2
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