Greatest common divisor is divisible by every common divisor
94914
Concise proof that every common divisor divides GCD without Bezout's identity?
140087
The number of divisors
110313
Prove that $\gcd(f(x),g(x)) = 1$.
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
114667
$d\mid a,b \iff d\mid\gcd(a,b) \ $ [GCD Universal Property]
25891
GCD in polynomial rings with coefficients in a field extension
72747
Proving gcd($a,b$)lcm($a,b$) = $|ab|$
96376
Why do we notate the greatest common divisor of $a$ and $b$ as $(a,b)$?
12134
divisibility question in abstract algebra over a field
27250
Greatest common divisor of two relatively primes
98544
Prove that in any GCD domain every irreducible element is prime
43728
Proof via Group Theory : $\mathrm{lcm}(a,b) \cdot \gcd(a,b) = |ab|$
124279
$g^k$ is a primitive element modulo $m$ iff $\gcd (k,\varphi(m))=1$
74314
Noetherian ring and the same prime divisors
113359
Proving that $x^2 + 4$ is not divisible by $3$
70951
Prove divisibility law $\,b\mid a,c\,\Rightarrow\, b\mid ka + lc$ for all $k,l\in\Bbb Z$