Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 56

Answer

The greatest common divisor of the two numbers is $30$.

Work Step by Step

Factor each number to obtain: $150=5(30)=5(5)(6)=5(5)(2)(3) \\480=16(30)=2(2)(2)(2)(5)(6)=2(2)(2)(2)(5)(2)(3)$ Thus, the greatest common divisor of the two numbers is $2(3)(5)=30$.
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