To play games at that resolution, the 610 will be too weak.. The 620 might not be able to handle modern games at that resolution either, even on lower settings. I'd suggest saving up more and then getting a higher grade graphics card that was designed for gaming.
The 2Gb will be enough for gaming, but the 610 & 620 have less CUDA cores and other things.. Making them unsuitable for gaming. They're intended more for your design software..