if gcd(a,b)=d ,prove that gcd (a/d , b/d )=1 #hpu #lovemaths #gcd

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gcd (a/d, b/d) = 1/d × gcd (a, b) || property - 4 of GCD proof || Number Theory gcd (a/d, b/d) = 1/d × gcd (a, b) || property - 4 of GCD proof || Number Theory
||Lecture#26||If a,b∈Z with gcd(a,b)=d,then gcd(a/d,b/d)=1 ||Example||Prof.Latif Sajid ||Lecture#26||If a,b∈Z with gcd(a,b)=d,then gcd(a/d,b/d)=1 ||Example||Prof.Latif Sajid
gcd(a,b)=d iff gcd(a/d, b/d)=1 . gcd(a,b)=d iff gcd(a/d, b/d)=1 .
If gcd(a,b)=1 and c|a, then gcd(b,c)=1 If gcd(a,b)=1 and c|a, then gcd(b,c)=1
||Lecture#32||If gcd(a,b,c)=d,then gcd(gcd(a,b),c)=gcd(a,gcd(b,c)=gcd(gcd(a,c),b) ||Prof.Latif Sajid ||Lecture#32||If gcd(a,b,c)=d,then gcd(gcd(a,b),c)=gcd(a,gcd(b,c)=gcd(gcd(a,c),b) ||Prof.Latif Sajid
If gcd(a,b)=1, then gcd(ac,b)=gcd(c,b) If gcd(a,b)=1, then gcd(ac,b)=gcd(c,b)
If gcd(a,b)=1, d|ac, and d|bc, then d|c. If gcd(a,b)=1, d|ac, and d|bc, then d|c.
33. gcd(a,b)=1⇒gcd(a^n,b^n )=1| gcd(a,b)=1⇒gcd(a+b,ab)=1 | Problems 2.4 | question 5, 6 and 11 33. gcd(a,b)=1⇒gcd(a^n,b^n )=1| gcd(a,b)=1⇒gcd(a+b,ab)=1 | Problems 2.4 | question 5, 6 and 11