Every fingering that fits a hand
0111
open
0564
easy
What is true of it
Gm7♭5 is G, B♭, D♭ and F — 1, b3, b5 and b7 counted from G.
These are also the notes of B♭m6/G and A♯m6/G. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 2 fingerings below is 0111: 3 fingers, held at the 1st fret.
1 of them use open strings, which is what makes a shape quiet to change to.
Where its notes are on the neck
The brass dots are G, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Gm7♭5/B♭
3534
Gm7♭5/D♭
6768
Gm7♭5/F
aa9a
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.