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Use Euclid's division algorithm to find …

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Use Euclid's division algorithm to find HCF of 441,567,693

Posted by Charan Tej 4 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Aditya Singh 4 years, 2 months ago

The Euclidean Algorithm for finding HCF (A,B) is as follows: If A=0 then HCF (A,B)=B, since the HCF (0,B)=B, and we can stop. If B=0 then HCF (A,B)=A, since the HCF (A,0)=A, and we can stop. Write A in quotient remainder form (A=BQ+R) Find HCF (B,R) using the Euclidean Algorithm since HCF (A,B)=HCF(B,R) Here, HCF of 441 and 567 can be found as follows:- 567=441×1+126 ⇒ 441=126×3+63 ⇒ 126=63×2+0 Since remainder is 0, therefore, H.C.F of (441,567) is =63 Now H.C.F of 63 and 693 is 693=63×11+0 Therefore, H.C.F of (63,693)=63 Thus, H.C.F of (441,567,693)=63.

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