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Question
If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is
Options
4
2
1
3
Solution
2
Explanation;
Hint:
H.C.F of 65 and 117
117 = 65 × 1 + 52
65 = 52 × 1 + 13
52 = 13 × 4 + 0
∴ 13 is the H.C.F. of 65 and 117.
65m – 117 = 65 × 2 – 117
130 – 117 = 13
∴ m = 2
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