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

Chapter 5, Problem 26E

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QUESTION:

Problem 26E

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

Questions & Answers

QUESTION:

Problem 26E

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

ANSWER:

Solution:

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

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