the h.c.f of 65 and 117 is expressible in the form of 65m-117. find m and l.c.m
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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
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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