Math, asked by ritika8634, 1 year ago

find the HCF of 65 and 117 express in the form of 65m + 117n

Answers

Answered by zampa07

m=2 n= -1. is your answer

Answered by venkatlokesh011

Answer:

Step-by-step explanation:

By euclid's division algorithm, we get HCF as 13

117 = 65 x 1 + 52

65 = 52 x 1 + 13

52 = 13 x 4 + 0

HCF = 13 = 65 - 52 X 1

= 65 - ( 117 - 65 X 1 ) X 1

= 65 X 2 - 117 X 1

= 65 m + 117 n ( where m = 2 n = -1 )

ritika8634: how you got 65 ×2- 117×1

venkatlokesh011: 65 - ( 117 - 65 X 1 )

venkatlokesh011: 65 - 117 X 1 + 65 X1

venkatlokesh011: Since there are 2 65's we get 65 x2 - 117 x1

ritika8634: plz explain

venkatlokesh011: I hope u understood

ritika8634: ok

ritika8634: thanks

venkatlokesh011: U are welcome, friend

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