Whether a gas is a greenhouse gas depends on a specific physical property: whether its molecules can absorb and re-emit infrared (heat) radiation, which in turn depends on the molecule having an asymmetric structure or more than two atoms that can vibrate in ways that interact with IR light.
Since hydrogen's simple, symmetric two-atom structure means it does not trap infrared heat the way the other three molecules do, it is the one gas here that is not a greenhouse gas.
Therefore, the correct answer is Hydrogen.