In a finite set of positive integers, if we replace any two elements by their GCD and LCM in one step, the numbers stop changing eventually.
95533
I need some help with a GCD and LCM's Problem
128199
Proving gcd(a, a+2) is 1 or 2 for every integer a?
1991
If $\gcd(a,b)=1$ and $a$ and $b$ divide $c$, then so does $ab$
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
48480
Find two elements that don't have a gcd in a subring of Gaussian integers
157784
Prove that if $\gcd(ab,c)=1$, then $\gcd(a,c)=1$.
50249
Pairs of numbers with a given LCM
139826
arbitrary large finite sums of an uncountable set.
95890
GCD algorithms for a large integers
10966
gcd and lcm from prime factorization proof
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
47123
Suppose that a set has an odd number of elements. Explain why half of the subsets will have an odd number of elements
55199
Number Theory in a Choice-less World
100977
Infinite subset with pairwise comprime elements
38295
If $\gcd (a,b) = 1$, what can be said about $\gcd (a+b,a-b)$?
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
51538
Intuition for $\,c\mid a,b \iff c\mid \gcd(a,b)$