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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.3 - Problem 25e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.3 - Problem 25e

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# Solved: What are the greatest common divisors of these ISBN: 9780073383095 37

## Solution for problem 25E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 25E

What are the greatest common divisors of these pairs of integers?a) 37 · 53 ·73, 211 · 35·59________________b) 11 · 13· 17, 29 · 37 · 55 · 73________________c) 2331, 2317________________d) 41 ·43 · 53, 41 · 43 · 53________________e) 313 · 517, 212 · 721________________f) 1111, 0

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Solution:-Step1Given thatWe have to find what are the greatest common divisors of these pairs of integersStep2a) 37 · 53 ·73, 211 · 35·59Definition: - The greatest common divisor, sometimes also called the highest common divisor of two positive integers c and d are the largest divisor common to c and d.The positive common divisor of two number isSo, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are .Step3b) 11 · 13· 17, 29 · 37 · 55 · 73The positive common divisor of two number is 1.So, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are .Step4c) 2331, 2317The positive common divisor of two number is So, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are .Step5d) 41 ·43 · 53, 41 · 43 · 53The positive common divisor of two number is So, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are Step6e) 313 · 517, 212 · 721The positive common divisor of two number is 1So, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are 1.Step7f) 1111, 0The positive common divisor of two number is So, gcd (gcd=greatest common divisors)Therefore, the greatest common divisors of these pairs of integers are 1111.

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##### ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “What are the greatest common divisors of these pairs of integers?a) 37 · 53 ·73, 211 · 35·59________________b) 11 · 13· 17, 29 · 37 · 55 · 73________________c) 2331, 2317________________d) 41 ·43 · 53, 41 · 43 · 53________________e) 313 · 517, 212 · 721________________f) 1111, 0” is broken down into a number of easy to follow steps, and 48 words. This full solution covers the following key subjects: common, divisors, greatest, integers, pairs. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 25E from 4.3 chapter was answered, more than 770 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 25E from chapter: 4.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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