Proof of gcd of a list of numbers
2208
$\gcd(a,b,c)=\gcd(\gcd(a,b),c)\,$ [GCD Associative Law]
56423
gcd of power plus one
62959
How to find GCD, LCM on a set of numbers
102133
Prove: $\gcd(a,b) = \gcd(a, b + at)$.
105832
prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
76680
Prove that if $\gcd(a,c)=1$ and $\gcd(b,c)=1$ then $\gcd(ab,c)=1$
137369
Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)
101872
Prove that $\gcd(a^2, b^2) = \gcd(a, b)^2$
37808
Show that $\gcd(a^2, b^2) = \gcd(a,b)^2$
113641
Suppose the gcd (a,b) = 1 and c divides a + b. Prove that gcd (a,c) = 1 = gcd (b,c)
76507
$\gcd(b^x - 1, b^y - 1, b^ z- 1,\dots) = b^{\gcd(x, y, z,\dots)} -1$
154959
Proof of associativity of GCD?
74631
For natural numbers $a$ and $b$, show that $a \Bbb Z + b \Bbb Z = \gcd(a, b)\Bbb Z $
81116
$gh = hg, \ \gcd(|g|, |h|) = 1\Rightarrow|gh| = |g||h|\ \ (|a|$ = order of element $a)$
33996
Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$
9146
Proving that a list of perfect square numbers is complete
130112
If $\gcd(a,n) = 1$ and $\gcd(b,n) = 1$, then $\gcd(ab,n) = 1$.