Let a and b be positive integers such that ax + by = 7 for some integers x and y. Then %3D

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 positive integers such that ax + by 7 for some integers x and y. Then
O gcd(a,b) is a multiple of 7
None of the mentioned
O gcd(a,b)=1 or 7
a and b are relatively prime
gcd(a,b)=7
Transcribed Image Text:Let a and b be positive integers such that ax + by 7 for some integers x and y. Then O gcd(a,b) is a multiple of 7 None of the mentioned O gcd(a,b)=1 or 7 a and b are relatively prime gcd(a,b)=7
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