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How many divisions are required to find gcd(l44, 233)
Chapter 5, Problem 26E(choose chapter or problem)
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