iteration 1 3 a 4,613 2,564 2,564 gcd gcd(4,613, 2,564) = Are the integers relatively prime? Yes No

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 34E
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Trace the action of the algorithm below to determine whether the integers are relatively prime.
a := 4,613, b := 2,564, r := 2,564
while (b ± 0)
r:3a mod Ь
a:= b
b:=r
end while
gcd := a
iteration
1
3
4
6
8
a
4,613
2,564
r
2,564
gcd
gcd(4,613, 2,564) =
Are the integers relatively prime?
O Yes
o No
Transcribed Image Text:Trace the action of the algorithm below to determine whether the integers are relatively prime. a := 4,613, b := 2,564, r := 2,564 while (b ± 0) r:3a mod Ь a:= b b:=r end while gcd := a iteration 1 3 4 6 8 a 4,613 2,564 r 2,564 gcd gcd(4,613, 2,564) = Are the integers relatively prime? O Yes o No
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