Let a and b be two positive integers such that ged(a, b) = 1. Then, gcd (a + b, ab) This option None of the choices This option gcd (2a + b, a + 2b) This option 1 only. This option = 1 only. gcd(a+b, a²ab + b2) = 1 only.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 28E: Let and be positive integers. If and is the least common multiple of and , prove that . Note...
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Let a and b be two positive integers such that gcd(a, b) = 1. Then,
gcd(a + b, ab) = 1 only.
This option
None of the choices
This option
gcd(2a + b, a + 2b) = 1 only.
This option
gcd(a + b, a? – ab + b²) = 1 only.
This option
Transcribed Image Text:Let a and b be two positive integers such that gcd(a, b) = 1. Then, gcd(a + b, ab) = 1 only. This option None of the choices This option gcd(2a + b, a + 2b) = 1 only. This option gcd(a + b, a? – ab + b²) = 1 only. This option
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