What does "kgcd" mean in abstract algebra?

Question

I am reviewing for my abstract algebra final. I know that "gcd" = the greatest common divisor. However, I am confused about what is "kgcd".

Thank you.

Answer 1

I am not aware of kgcd being an abbreviation for something,

the way $\gcd$ stands for greatest common divisor.

Without more details, I can't be sure,

but I wonder if "kgcd" means an integer $k$ multiplied by the $\gcd$,

such as in the statement $\gcd(ka,kb)=k\gcd(a,b)$.

Answer 2

kgcd is not an acronym as far as I know. It simply means gcd multiplied by some number k.

As an example, and I suspect in the case of abstract algebra you'd get kgcd from:

gcd(kx,ky) = kgcd(x,y)