Knowing the gcd and lcm, how to find a, b
101940
If we know the GCD and LCM of two integers, can we determine the possible values of these two integers?
147246
If $\gcd(a,c)=1=\gcd(b,c)$, then $\gcd(ab,c)=1$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
83776
Is there a direct proof of this lcm identity?
23066
If $\gcd(a, b) = 1$, then $\gcd(ab, c) = \gcd(a, c) \cdot\gcd(b, c)$
102757
Prove that either $m$ divides $n$ or $n$ divides $m$ given that $\operatorname{lcm}(m,n) + \operatorname{gcd}(m,n) = m + n$?
46555
How to calculate GCD of Gaussian integers?
14658
Deriving Chinese Remainder Theorem from gcd Bezout identity
38404
Prove $\gcd(a+b, a-b) = 1$ or $2\,$ if $\,\gcd(a,b) = 1$
107914
Expanding GCDs Reasoning: $\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$
7090
Show that $\gcd(a,bc)=1$ if and only if $\gcd(a,b)=1$ and $\gcd(a,c)=1$
121156
Prove that: $\gcd[a,b,c]=\frac{abc.\operatorname{lcm}(a,b,c)}{\operatorname{lcm}(a,b)\operatorname{lcm}(a,c)\operatorname{lcm}(b,c)}$
76126
How to find the GCD of two polynomials
111555
Find $a,b \in \mathbb{N}$ with $\mathrm{lcm}(a,b)=12\gcd(a,b)\,$ and $\,a\bmod b = 5$
7091
If $\gcd(a,b)=1$, then $\gcd(a^n,b^n)=1$
152878
calculate the gcd of $a+b$ and $p^4$
74809
GCD to LCM of multiple numbers