Will the ATI Radeon HD 5770 or 5670 1GB work on my GIGABYTE S-series M61PME-S2 motherboard?

I have AMD Athlon X2 7750 dual core processor, and a 4 gb ddr2 ram. Also, my current gpu is Nvidia 8600 gs 512 mb|||Yes, they both will run on your system. buy any of those cards with PCI-Express interface.