Can a ring extension leads to new gcd?
9873
GCD in a PID persists in extension domains
19164
On the GCD of a Pair of Fermat Numbers
48670
GCD in Gaussian integers.
57592
Does existence of $\gcd$ implies PID?
82328
Constructing a Galois extension field with Galois group $S_n$
51974
Does the Bezout GCD equation hold in a UFD?
190
Why $\gcd(qb+r,b)=\gcd(b,r)$?
21538
Can a ring of positive characteristic have infinite number of elements?
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
63192
A chain ring with Krull dimension greater than one
76507
$\gcd(b^x - 1, b^y - 1, b^ z- 1,\dots) = b^{\gcd(x, y, z,\dots)} -1$
125737
GCD( LCM(a,b) , LCM(a,c) ) = LCM(b, GCD(b,c)) , why?
95533
I need some help with a GCD and LCM's Problem
55673
Alternate proof that $\exists\ x \in \Bbb{Z}$ such that $ \gcd (a+bx,c) = 1$?
32741
Idempotents in a ring without unity (rng) and no zero divisors.
51538
Intuition for $\,c\mid a,b \iff c\mid \gcd(a,b)$
25573
If $\gcd(a,b)=1$, then $\gcd(a+b,a^2 -ab+b^2)=1$ or $3$.