Solution Found!
a) Define the greatest common divisor of two
Chapter 5, Problem 9RQ(choose chapter or problem)
Problem 9RQ
a) Define the greatest common divisor of two integers.
b) Describe at least three different ways to find the greatest common divisor of two integers. When does each method work best?
c) Find the greatest common divisor of 1,234,567 and 7,654.32 1.
d) Find the greatest common divisor of 2335577911 and 2937557313.
Questions & Answers
QUESTION:
Problem 9RQ
a) Define the greatest common divisor of two integers.
b) Describe at least three different ways to find the greatest common divisor of two integers. When does each method work best?
c) Find the greatest common divisor of 1,234,567 and 7,654.32 1.
d) Find the greatest common divisor of 2335577911 and 2937557313.
ANSWER:
Solution:
Step1
a) Define the greatest common divisor of two integers.
Definition of the greatest common divisor of two integers is
The greatest common divisor (gcd) of two integers, which are not all zero, is the largest positive integer that divides. each of the integers. For example, the gcd of 9 and 18 is 9.
Step2
b) Describe at least three different ways to find the greatest common divisor of two integers. When does each method work best?
Three different ways to find the greatest common divisor of two integers are:-