Show that gcd of any two consecutive odd integers is 1
1197
Finding $\gcd(2n-1,2n+1)$ . . . I think it's 1 but is my logic right?
22845
Prove that if d is a common divisor of a and b, then $d=\gcd(a,b)$ if and only if $\gcd(a/d,b/d)=1$
86413
Show that $\frac{(m+n-1)!}{m!n!}$ is an integer where m and n are positive integers and gcd(m,n)=1
7090
Show that $\gcd(a,bc)=1$ if and only if $\gcd(a,b)=1$ and $\gcd(a,c)=1$
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
20823
If $\gcd(a,b) = 1$ and $a,b\mid x$ then $ab\mid x$.
82777
If $\gcd(a, b) = 1$ then prove that $\gcd(a+b, a^2-ab+b^2) = 1$ or $3$?
38404
Prove $\gcd(a+b, a-b) = 1$ or $2\,$ if $\,\gcd(a,b) = 1$
10348
Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
18633
Prove every odd integer is the difference of two squares
78593
Prove that the product of four consecutive positive integers plus one is a perfect square
33996
Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$
57944
Euler's Formula application for distinct odd primes with gcd 1
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
84417
Prove that if $\gcd(a,b)=1$ then $\gcd(a^m, b)=1$
24845
Let $a\mid c$ and $b\mid c$ such that $\gcd(a,b)=1$, Show that $ab\mid c$
76507
$\gcd(b^x - 1, b^y - 1, b^ z- 1,\dots) = b^{\gcd(x, y, z,\dots)} -1$