Answer
The greatest common divisor of the two numbers is $38$.
Work Step by Step
Factor each number to obtain:
$342=2(171)=2(3)(57)=2(3)(3)(19)
\\380=10(38)=2(5)(2)(19)$
Thus, the greatest common divisor of the two numbers is $2(19)=38$.
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
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 - Page 256: 53
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