   Chapter 2.4, Problem 5TFE

Chapter
Section
Textbook Problem

Label each of the following statement as either true or false.The greatest common divisor is unique, when it exists.

To determine

Whether the statement, “The greatest common divisor is unique, when it exists” is true or false.

Explanation

Consider the statement, “The greatest common divisor is unique, when it exists.”

By using the theorem on Greatest Common Divisors, let a and b be the integers, at least one of them is non-zero. Then, there exists a unique greatest common divisor d of a and b. Moreover, d can be written as d=a

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