Forum:Can this combo work??

Can you play Gift of greed one after another after another (in short terms play 3 of them) and then after he draws all 6 of his cards play Null and void to make him discard them.

Reason why I ask this because im not sure (obviously) and it make me think that (Example) when you play reckless greed and then activate another it only counts for 2 draw phases or no drawing insted of 4 so it makes me think i can do that combo with null and void and make him discard all 6