Finding the monic gcd of 2 polynomials
53777
Why is $\gcd(x^4+1,x^2-1) = 1$ but I get $2$? [unit normalization of gcds]
7954
Roots of monic polynomial over a number ring
77064
Proving $\gcd((a+b)^m,(a-b)^m)\le2^m$ for coprime $a,b$ and $m \in \Bbb N$
37808
Show that $\gcd(a^2, b^2) = \gcd(a,b)^2$
65687
$\gcd(a,b)\gcd(x,y)\mid ax+by$
80148
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
73391
Prove that if $\gcd(a,b)=1$, then $\gcd(a^2,b^2)=1$
63758
$c\mid ab\Rightarrow c\mid \gcd(a,c)\gcd(b,c),\,$ for integers $a, b, c$
74924
identity element of $(D_n ,\gcd)$
110313
Prove that $\gcd(f(x),g(x)) = 1$.
92630
How to prove $\gcd(a^m,b^m) = \gcd(a,b)^m$ using Bézout's Lemma
69279
If $\gcd(a,b)=1$ then, $\gcd(a^2,b^2)=1$
52546
How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
10966
gcd and lcm from prime factorization proof
116175
Show that $\gcd(3k+2,5k+3)=1$
128446
Why polynomial division algorithm works for $x-a$ or any monic polynomial?