Is this GCD statement true?
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
76680
Prove that if $\gcd(a,c)=1$ and $\gcd(b,c)=1$ then $\gcd(ab,c)=1$
2289
Prove that if $\gcd( a, b ) = 1$ then $\gcd( ac, b ) = \gcd( c, b ) $
87846
If $\gcd (x,4) = 2$ and $\gcd(y,4) = 2$ then $\gcd(x+y,4) = 4$
23066
If $\gcd(a, b) = 1$, then $\gcd(ab, c) = \gcd(a, c) \cdot\gcd(b, c)$
78678
If $\gcd(m,n)=1$, and $\gcd(a,m)=\gcd(b,n)=1$, then $\gcd(ab, mn)=1$
128820
Prove that if $\gcd(a,b)=1$ then $\gcd(ab,c) = \gcd(a,c) \gcd(b,c)$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
19822
For $D$ a GCD domain , let $a,b,x \in D \setminus \{0\}$ , then is it true that $\gcd (ax,bx)=x \cdot \gcd (a,b)$?
7091
If $\gcd(a,b)=1$, then $\gcd(a^n,b^n)=1$
6166
Is the following statement provable?
105975
Given the OneIdentity attribute why is GCD[a] evaluated to GCD[a]?
82777
If $\gcd(a, b) = 1$ then prove that $\gcd(a+b, a^2-ab+b^2) = 1$ or $3$?
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
158025
Intuition of why $\gcd(a,b) = \gcd(b, a \pmod b)$?
5789
$ d = \gcd(a,b)\Rightarrow\ \gcd(a/d,b/d) = 1$
14783
A Number Theory problem (GCD)