If HCF of 65 and 117 is expressible in form 65m– 117, then find m

If HCF of 65 and 117 is expressible in form 65m– 117, then find mSubmitted on 3/3/2024 | Answered by Vandana Rana

117=13×3×3
65=5×13
∴ HCF(65,117) = 13 …..(1)
HCF (65,117) = 65m − 117 (given)…..(2)
From (1) and (2),
65m−117=13
65m=130
m=2