Use the extended Euclidean algorithm to express gcd( 144,

Chapter 4, Problem 43E

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QUESTION:

Problem 43E

Use the extended Euclidean algorithm to express gcd( 144, 89) as a linear combination of 144 and 89.

Questions & Answers

QUESTION:

Problem 43E

Use the extended Euclidean algorithm to express gcd( 144, 89) as a linear combination of 144 and 89.

ANSWER:

Solution :

Step 1 :

In this problem we have to express the gcd as a linear combination.

Given numbers are 144 and 89.

The Euclidean algorithm uses these divisions.

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