Showing that roots common to $z^m-1=0$ and $z^n-1=0$ where $\gcd(m,n)=d$ are given by all roots of $z^{d}-1=0$
6012
Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
69067
Principal $n$th root of a complex number
11664
If $a_0+\frac{a_1}{2}+\dots + \frac{a_n}{n+1}=0$ then $a_nx^n+\dots + a_0$ has a root in $[0,1]$
37928
Isomorphism between $D_{2n}/Z(D_{2n})$ and $D_n$
62254
Show $F_{n+1} \cdot F_{n-1} = F_n^2 + (-1)^n$ for all $n \in \mathbb{N}$
59006
Proof of $\gcd(n!+1, (n+1)!+1)=1$?
66785
Find $\gcd(p^n-1,p^m+1)$.
36
Prove: If $\gcd(a,b,c)=1$ then there exists $z$ such that $\gcd(az+b,c) = 1$
22845
Prove that if d is a common divisor of a and b, then $d=\gcd(a,b)$ if and only if $\gcd(a/d,b/d)=1$
136574
Show $g^{(n)}(0)=0$ for all $n$
11216
Induction: How to prove that $ab^n+cn+d$ is divisible by $m$.
66748
Show that if $a \equiv b \pmod n$, $\gcd(a,n)=\gcd(b,n)$
86413
Show that $\frac{(m+n-1)!}{m!n!}$ is an integer where m and n are positive integers and gcd(m,n)=1
49294
prove that $\operatorname{lcm}(n,m) = nm/\gcd(n,m)$
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
40107
primitive n-th roots of unity