Match the lists together: b= an .A dla and db. .B Euclidean Algorithm.c alb v congruence.D Division Algorithm Icm(a,b) = ab E gcd(a,b) - prime .F gcd(a,b) = 1 Fundamental Theorem of Arithmetic.G a= qb+r gcd(a,b)= gcd(b,r) - Euclid's lemma.H n>1 is either a prime or a product of primes v linear congruence i ax = b(mod n) v a=qb+rJ ax + by .K a=bn L

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.2: Divisibility And Greatest Common Divisor
Problem 31E
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Match the lists together:
b= an .A
d|a and d|b. .B
Euclidean Algorithm.c
alb v
congruence.D
Division Algorithm
Icm(a,b) = ab .E
gcd(a,b) v
prime .F
gcd(a,b) = 1
Fundamental Theorem of Arithmetic.G
a= qb+r gcd(a,b)=D gcd(b,r) v
Euclid's lemma.H
n>1is either a prime or a product of primes v
linear congruence I
ax = b(mod n)r
a=qb+r.j
ax + by .K
a=bn
.L
Transcribed Image Text:Match the lists together: b= an .A d|a and d|b. .B Euclidean Algorithm.c alb v congruence.D Division Algorithm Icm(a,b) = ab .E gcd(a,b) v prime .F gcd(a,b) = 1 Fundamental Theorem of Arithmetic.G a= qb+r gcd(a,b)=D gcd(b,r) v Euclid's lemma.H n>1is either a prime or a product of primes v linear congruence I ax = b(mod n)r a=qb+r.j ax + by .K a=bn .L
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