Values of $\gcd(a-b,\frac{a^p-b^p}{a-b} )$
18714
$\gcd\left(a+b,\frac{a^p+b^p}{a+b}\right)=1$, or $p$
84417
Prove that if $\gcd(a,b)=1$ then $\gcd(a^m, b)=1$
10348
Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
117098
Properties of the greatest common divisor: $\gcd(a, b) = \gcd(a, b-a)$ and $\gcd(a, b) = \gcd(a, b \text{ mod } a)$
130653
$p^2$ divides $ab$ and $\gcd(a,b)=1$. Show $p^2$ divides $a$ or $p^2$ divides $b$
63758
$c\mid ab\Rightarrow c\mid \gcd(a,c)\gcd(b,c),\,$ for integers $a, b, c$
102133
Prove: $\gcd(a,b) = \gcd(a, b + at)$.
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
142693
$\gcd(a,b) = \gcd(a + b, \mathrm{lcm}[a,b])$
105832
prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
152878
calculate the gcd of $a+b$ and $p^4$
96535
Show that if $\gcd(a,3)=1$ then $a^7 \equiv a\pmod{63}$. Why is this assumption necessary?
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
19164
On the GCD of a Pair of Fermat Numbers
80148
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
90480
Code for (a,b) with gcd(a,b)=1?