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Find the HCF of 243 and …

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Find the HCF of 243 and 711 and express it as a linear combination of 243 and 711

Posted by Aman Kumar 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Megha Singla 6 years, 5 months ago

711 = 243*2+225 243 = 225*1+18 225 = 18*12+9 18 = 9*2+0 HCF = 9 9 = 225-18*12 = 225-(243-225*1)*12 = 225-243*12+225 *12 = 225*13-243*12 = (711-243*2)*13-243*12 = 711*13-243*26-243*12 = 711*13-243*38 = 711*13+243*(-38) = 711m+243n = m=13 and n=-38

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CBSE > Class 10 > Mathematics