to find the HCF of 657 and 963, we will use Euclid's division Lemma,

963 = 657*1+306

since the remainder is not equal to zero, we will again apply Euclid's division Lemma

657 = 306*2+ 45

306 = 45*6 + 36

45 = 36*1 +9

36 = 9*4 + 0

now we get remainder as 0 , thus the HCF of 963 and 657 is 9.

9 = 657 x + 963 x -15

1620 x = 9+15 = 24

x = 24 / 1620 = 2/135

hope this helps you.

cheers!!

this above question is answered by a meritnation expert,bt the answer given by mam is not the same answer given in rd sharma guide.itz different,the answer given in guide is 22 while answer is 2/135....so which should i follow....plzz any1 du help meee.....expertz plzzz clear my doubt...plzzz..!!

HCF of 963 and 657 is 9.

⇒ 9 = 657x + 963 × (-15)

⇒ 9 = 657x - 14445

⇒ 657x = 14445 + 9 = 14454

x = 14454/657 = 22

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em sory ithat i havent posted the question...heres the question-

if the HCF of 657 and 963 is expressible in the form 657x+963x-15,find x.

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