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Use the Euclidean algorithm to find the greatest common
Chapter 5, Problem 25E(choose chapter or problem)
Problem 25E
Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341.
Questions & Answers
QUESTION:
Problem 25E
Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341.
ANSWER:
Solution:
Step1
To find
We have to find the greatest common divisor of 10,223 and 33,341 using the Euclidean algorithm.
Step2
Given that
10,223 and 33,341
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.
)