Question pertaining to the relationship between the GCD and LCM of 3 numbers.
107095
Prove $\gcd(a,b) \gcd(a,c) \gcd(b,c) \,\text{lcm} (a,b,c)^2=$ $\text{lcm}(a,b)\,\text{lcm}(a,c) \,\text{lcm}(b,c) \gcd(a,b,c)^2$
190
Why $\gcd(qb+r,b)=\gcd(b,r)$?
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
102133
Prove: $\gcd(a,b) = \gcd(a, b + at)$.
48452
Proof that $\gcd$ divides $\operatorname{lcm}$
37596
If $\gcd(a,b)= 1$ and $a$ divides $bc$ then $a$ divides $c\ $ [Euclid's Lemma]
157508
prove $lcm(a,gcd(b,c))=gcd(lcm(a,b),lcm(a,c))$
73972
How to prove that $\gcd(2n^3-14n+2,n+3) = \gcd(n+3,10)$?
57281
Is Bezout's lemma enough to confirm the GCD of a number.
49294
prove that $\operatorname{lcm}(n,m) = nm/\gcd(n,m)$
87756
Order of a particular given permutation = LCM(order of all disjoint cycles) ?
55441
Check: For the integers $a,b,c$ show that $\gcd(a,bc)=\gcd(a,\gcd(a,b)\cdot c)$
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
102757
Prove that either $m$ divides $n$ or $n$ divides $m$ given that $\operatorname{lcm}(m,n) + \operatorname{gcd}(m,n) = m + n$?
119734
Why does prime factorization for LCM work?
154959
Proof of associativity of GCD?
108450
Prove that $\gcd(a, b) = \gcd(a, b + ma)$?