How do I show that $\gcd(a^2, b^2) = 1$ when $\gcd(a,b)=1$?
105832
prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
22845
Prove that if d is a common divisor of a and b, then $d=\gcd(a,b)$ if and only if $\gcd(a/d,b/d)=1$
35945
Proof that if $\gcd(a,b) = 1$ and $a\mid n$ and $b\mid n$, $ab \mid n$
59006
Proof of $\gcd(n!+1, (n+1)!+1)=1$?
101872
Prove that $\gcd(a^2, b^2) = \gcd(a, b)^2$
6012
Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
135086
GCD of two numbers divided by their greatest common divisor is 1
113641
Suppose the gcd (a,b) = 1 and c divides a + b. Prove that gcd (a,c) = 1 = gcd (b,c)
63547
Euclid's Lemma and $\gcd(a,b)=1\Rightarrow \gcd(a^n,b^k)= 1$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
52546
How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
72747
Proving gcd($a,b$)lcm($a,b$) = $|ab|$
152878
calculate the gcd of $a+b$ and $p^4$
37808
Show that $\gcd(a^2, b^2) = \gcd(a,b)^2$
130112
If $\gcd(a,n) = 1$ and $\gcd(b,n) = 1$, then $\gcd(ab,n) = 1$.
1197
Finding $\gcd(2n-1,2n+1)$ . . . I think it's 1 but is my logic right?