If gcd(a,b)=1, then gcd(ac,b)=gcd(c,b)

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We are going over section 2.3 question 20 c in Burton's Number Theory Book.
  1. Snell Bros. Math
  2. GCD
  3. Math
  4. Number Theory
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If gcd(a,b)=1, then 0:03:46

If gcd(a,b)=1, then gcd(ac,b)=gcd(c,b)

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If gcd(a,b)=1 and gcd(a,c)=1, then gcd(a,bc)=1.

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||Lecture#20||If gcd(a,b)=1 and gcd(a,c)=1 then gcd(a,bc)=1||Number Theory||Prof.Latif Sajid

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If gcd(a,b)=1 and 0:06:24

If gcd(a,b)=1 and c|(a+b), then gcd(a,c)=gcd(b,c)=1

If gcd(a,b)=1 and 0:09:03

If gcd(a,b)=1 and gcd(a,c)=1 then gcd(a,bc)=1. in Number Theory Lecture 7

||Lecture#29||If gcd(a,b)=1,then gcd(a+b,a-b)=1 0:06:30

||Lecture#29||If gcd(a,b)=1,then gcd(a+b,a-b)=1 or 2 ||Prof.Latif Sajid

If gcd(a,b)=1 and 0:08:49

If gcd(a,b)=1 and gcd(a,c)=1 then prove that gcd(a,bc)=1.

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(NUMBER THEORY) Lecture 18: if a|c and b|c with gcd (a,b)= 1 then ab|c

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If gcd(a,b)=1, then gcd(a^2,b^2)=1.

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If a divides c and b divides c with gcd(a,b)=1 then ab will divide c

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If a and b are co-primes then show that gcd of a-b and a+b equals 1 or 2

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If gcd (a , b) = 1 prove that gcd(a^n, b^n) = 1 (ENT-DMB-Prob -2.4-5(a))

||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 0:06:20

||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 ||Prof.Latif Sajid

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If gcd(a,b)=1, d|ac, and d|bc, then d|c.

If a|c and 0:08:50

If a|c and b|c with gcd(a,b)=1 then prove that ab|c

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If gcd (a,b) = 1 then prove that gcd(a+b , a^2 -ab +b^2) =1 or 3.

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||Lecture#17||If a|bc with gcd(a,b)=1 then a|c||Examples||Prof.Latif Sajid||Number Theory||

||Lecture#26||If a,b∈Z with 0:05:25

||Lecture#26||If a,b∈Z with gcd(a,b)=d,then gcd(a/d,b/d)=1 ||Example||Prof.Latif Sajid

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gcd (a/d, b/d) = 1/d × gcd (a, b) || property - 4 of GCD proof || Number Theory