Find numbers from GCD and LCM
59856
Find $x,y$ given $\gcd(x,y)$ and ${\rm lcm}(x,y)$
41295
Divisibility, LCM and GCD for fractions (rationals)
101940
If we know the GCD and LCM of two integers, can we determine the possible values of these two integers?
102757
Prove that either $m$ divides $n$ or $n$ divides $m$ given that $\operatorname{lcm}(m,n) + \operatorname{gcd}(m,n) = m + n$?
122096
Find $GCD(n^2+1,n+1)$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
95890
GCD algorithms for a large integers
107095
Prove $\gcd(a,b) \gcd(a,c) \gcd(b,c) \,\text{lcm} (a,b,c)^2=$ $\text{lcm}(a,b)\,\text{lcm}(a,c) \,\text{lcm}(b,c) \gcd(a,b,c)^2$
48480
Find two elements that don't have a gcd in a subring of Gaussian integers
46555
How to calculate GCD of Gaussian integers?
25174
Solve for $A,B$: $\mathrm{LCM}(A,B)=168$, $\mathrm{HCF(A,B)}=12$
50396
How can I show that $ab \sim \gcd (a,b) {\operatorname{lcm} (a,b)}$ for any $a,b \in R \setminus \{0\}$?
2904
Solving linear congruence (modular inverse or fraction) via gcd Bezout equation
93686
In a UFD, lcm = product for coprimes: $\,(a,b)=1,\ a,b\mid c\Rightarrow ab\mid c$
117098
Properties of the greatest common divisor: $\gcd(a, b) = \gcd(a, b-a)$ and $\gcd(a, b) = \gcd(a, b \text{ mod } a)$
110460
find remainder of a number
158579
If $r,s,t$ are prime numbers and $p,q$ positive integers s.t. $\text{lcm}(p,q)$ is $r^2s^4t^2$, then the number of ordered pairs $(p,q)$ is?