If the HCF of 65 and 117 is expressible in the form of 65m – 117, then the value of m is
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Let us find the HCF of 65 and 117,
117 = 1 × 65 + 52
65 = 1 × 52 + 13
52 = 4 ×13 + 0
therefore HCF of 65 and 117 is 13.
65m -117 = 13
65m = 117+13 = 130
m =130 / 65 =2
Now, 65 = 5 × 13
117 = 13 × 3 × 3
LCM of 65 and 117 = 5 × 13 × 3 × 3 = 585
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