What is the set of units in $ (\mathbb Z/n \mathbb Z)$ equal to $\{k+n \mathbb Z : gcd(n,k)=1\} $
96398
An integer $a \pmod m$ has inverse if and only if $\gcd(a,m)=1$?
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
7090
Show that $\gcd(a,bc)=1$ if and only if $\gcd(a,b)=1$ and $\gcd(a,c)=1$
80148
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
95863
Describe the units in $\mathbb{Z}[\sqrt{-d}]$
55441
Check: For the integers $a,b,c$ show that $\gcd(a,bc)=\gcd(a,\gcd(a,b)\cdot c)$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
7316
How to prove that $z\gcd(a,b)=\gcd(za,zb)$
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
82777
If $\gcd(a, b) = 1$ then prove that $\gcd(a+b, a^2-ab+b^2) = 1$ or $3$?
18772
If $a,b \in\mathbb N$ and $\gcd(a,b)=1$, prove that $\gcd(a+b;a^2+b^2)= 1$ or $2$.
92645
Why isn't $\gcd(x^2+3x+2,x^2+x)=(x+1)$? [unit normalization of gcds]
14693
$d = \gcd(c,m),\ ac≡bc\pmod{\! m}\Rightarrow a≡b\pmod {\!m/d}\ $ [Congruence Cancellation & Division Rule]
14783
A Number Theory problem (GCD)
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$