Solution Found!
What are the greatest common divisors of these pairs of
Chapter 4, Problem 24E(choose chapter or problem)
What are the greatest common divisors of these pairs of integers?a) 22 · 33 · 55 , 25 · 33 · 52________________b) 2·3·5·7 · 11 ·13 , 211 ·39· 11 ·1714________________c) 17, 1717________________d) 22 · 7, 53 · 13________________e) 0, 5________________f) 2·3·5·7, 2·3·5·7
Questions & Answers
QUESTION:
What are the greatest common divisors of these pairs of integers?a) 22 · 33 · 55 , 25 · 33 · 52________________b) 2·3·5·7 · 11 ·13 , 211 ·39· 11 ·1714________________c) 17, 1717________________d) 22 · 7, 53 · 13________________e) 0, 5________________f) 2·3·5·7, 2·3·5·7
ANSWER:Solution:-Step1Given thatWe have to find what are the greatest common divisors of these pairs of integersStep2a) 22 · 33 · 55, 25 · 33 · 52Definition: - The greatest common divisor, sometimes also called the highest common divisor of two positive integers c and d are the largest divisor common to c and d.The positive common divisor of two number isSo, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integer