find the HCF of 592 and 252 by euclid's division Lemma and Express it in the form of linear equation please dear explain bit by bit.
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Euclid's Division Lemma
a = bq + r
Here a is dividend , b is Divisor , q is Quotient and r is remainder
592 = 252 × 2 + 88
Since remainder is not 0 , the process will be continued
252 = 88× 2 + 76 ( Divide 252 by 88)
88 = 76× 1 + 12
76 = 12× 6 + 4
12 = 4×3 +0
Since remainder is 0
HCF( 252,592) = 4
Euclid's Division Lemma
a = bq + r
Here a is dividend , b is Divisor , q is Quotient and r is remainder
592 = 252 × 2 + 88
Since remainder is not 0 , the process will be continued
252 = 88× 2 + 76 ( Divide 252 by 88)
88 = 76× 1 + 12
76 = 12× 6 + 4
12 = 4×3 +0
Since remainder is 0
HCF( 252,592) = 4
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