Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.3 - Primes and Greatest Common Divisors - Exercises - Page 273: 34

Answer

8 no. of division are required for gcd(21,34)

Work Step by Step

gcd(21,34) 34= 21\times1+13 gcd(21,13) 21=13\times+8 gcd(13,8) 13=8\times1+5 gcd(8,5) 8=5\times1+3 gcd(5,3) 3\times1+2 gcd(3,2) 3=2\times1+1 gcd(2,1) 2=1\times2+0 gcd(1,0) 1 8 no. of division are required to find gcd(21,34)
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