GCD in unique factorization domain
6410
Prove that $(ma, mb) = |m|(a, b)\ $ [GCD & LCM Distributive Law]
117195
For Diffie-Hellman, must g be a generator?
137369
Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)
95890
GCD algorithms for a large integers
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
53777
Why is $\gcd(x^4+1,x^2-1) = 1$ but I get $2$? [unit normalization of gcds]
144592
how to prove the existence and uniqueness of the prime factorization of any natural number.
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
114480
Example of a domain where all irreducibles are primes and that is not a GCD domain
76507
$\gcd(b^x - 1, b^y - 1, b^ z- 1,\dots) = b^{\gcd(x, y, z,\dots)} -1$
18887
Euclidean domain in which the quotient and remainder are always unique
45498
Building a hard to factor number without knowing its factorization
154959
Proof of associativity of GCD?
135571
Bézout Identity with coefficient divisibility constraints
56607
gcd and order of elements of group
55432
Infinite distinct factorizations into irreducibles for an element
58717
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain