Hungarian word fogok comes from Hungarian fog, Hungarian -ok-

Detailed word origin of fogok

Dictionary entry	Language	Definition
fog	Hungarian (hun)	(anatomy) tooth. Tooth (a sharp projection on a saw or similar implement). Tooth, cog (indicating future) will, going to. (transitive) to catch, take, receive. (transitive) to grasp, grip, hold.
-ok-	Hungarian (hun)
fogok	Hungarian (hun)

Words with the same origin as fogok