Question about greatest common divisor.
73391
Prove that if $\gcd(a,b)=1$, then $\gcd(a^2,b^2)=1$
127993
Let $p$ be a prime. Suppose that $\gcd(a, b) = p$. Find $\gcd(a^2,b)$ for all integers $a$ and $b$.
135086
GCD of two numbers divided by their greatest common divisor is 1
145354
What is $\gcd(0,0)$?
78852
If $\gcd(m,n) =1, $ then $m\mathbb{Z}/ mn\mathbb{Z} \cong \mathbb{Z}/(n)$
25573
If $\gcd(a,b)=1$, then $\gcd(a+b,a^2 -ab+b^2)=1$ or $3$.
92645
Why isn't $\gcd(x^2+3x+2,x^2+x)=(x+1)$? [unit normalization of gcds]
101940
If we know the GCD and LCM of two integers, can we determine the possible values of these two integers?
11388
How you get from $\gcd(a,b)=1 \Longleftrightarrow ax+by=1 \Longrightarrow a \nmid b$?
48452
Proof that $\gcd$ divides $\operatorname{lcm}$
95533
I need some help with a GCD and LCM's Problem
105832
prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
96535
Show that if $\gcd(a,3)=1$ then $a^7 \equiv a\pmod{63}$. Why is this assumption necessary?
152506
The greatest common divisor is the smallest positive linear combination
80148
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
157784
Prove that if $\gcd(ab,c)=1$, then $\gcd(a,c)=1$.
34330
How to prove $\gcd(a^2,b^2) = (\gcd(a,b))^2$?