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How many divisions are required to find gcd(l44, 233)

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 26E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 26E

How many divisions are required to find gcd(l44, 233) using the Euclidean algorithm?

Step-by-Step Solution:
Step 1 of 3

Step1

 We have to find how many divisions are required to find gcd(l44, 233) using the Euclidean algorithm?

Step2

By using the Euclidean algorithm( The Euclidean algorithm, is a productive technique for figuring the best regular divisor(GCD) of two numbers, the biggest number that partitions them two without leaving a remainder.It depends on the rule that the best normal divisor of two numbers does not change if the bigger number is supplanted by its distinction with the more modest number.

)

Here Divisor=144

Dividend=233

144=

=

55=

34=

Step 2 of 3

Chapter 4.SE, Problem 26E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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How many divisions are required to find gcd(l44, 233)

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