prove that if gcd(a,b)=d then gcd(a/d,b/d)=1 | Number theory and linear algebra |important question

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Number Theory| Q3 prove that if d is a common Divisor of a and b, then d=gcd(a,b) iff gcd(a/d,b/d)=1

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

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

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

Let gcd (a,b)=d and a=xd, b=yd then prove that x and y are relatively prime. Number Theory Lecture 9

If d=(a,b), the prove that (a/d,b/d)=1 | Unit 3 | Algebra and Number Theory Anna University Tamil

30. Properties of gcd | gcd is unique | gcd⁡(𝑘𝑎,𝑘𝑏)=|𝑘| gcd⁡(𝑎,𝑏) | gcd⁡(𝑎,𝑏)=𝑑⇔gcd⁡(𝑎/𝑑,𝑏/𝑑)=1

gcd(a,b)=d iff gcd(a/d, b/d)=1 .