11. Using Euclid's division algorithm, find HCF of 56,96 and 404. – InterviewSolution

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11. Using Euclid's division algorithm, find HCF of 56,96 and 404.

Answer»

56/2=28/2=14/2=7, 96/2=48/2=24/2=12/2=6/2=3; 404/2=202/2=101

according to Euclid lemma a= bq+rr is less than Qwhen r= 0 , HCF = q96= 1×56+4056= 1×40+1640= 2×16+816= 2×8+0404= 50×8+48= 2×4+0so HCF = 4

4 is the correct answer

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