Yes, your PC can run GTA 5 if it meets the system requirements.
Yes, your PC can run GTA 5 if it meets the system requirements.
It wouldn't work with GTA since you have DDR4 RAM while the CPU and motherboard only support DDR3. I wouldn't suggest this setup at all. Are you asking about the Australian Dollar? You might want an i5 6500 with a B150 motherboard instead. (Remember to use DDR4 RAM with this configuration.) I wouldn't recommend the GTX 970 either; it's not something I'd suggest now. The GTX 1060 with 6GB should fit your budget.
I haven't included a list of OS PCPartPicker components or a price breakdown by merchant for the CPU: Intel Core i7-6700K 4.0GHz Quad-Core Processor ($319.99 at B&H). CPU cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing ($24.88 at OutletPC). Motherboard: Asus Z170-A ATX LGA1151 ($150.88 at OutletPC). Memory: Kingston HyperX Fury Black 8GB (2 x 4GB) DDR4-2133 ($38.88 at OutletPC). Storage: Samsung 850 EVO-Series 250GB SSD ($89.39 at Newegg). Storage: Western Digital Caviar Blue 1TB (3.5", 7200RPM) ($47.49 at OutletPC). Video card: EVGA GeForce GTX 1070 8GB SC Gaming ACX 3.0 ($429.99 at B&H). Case: NZXT S340 (White, ATX Mid Tower) ($64.69 at SuperBiiz). Power supply: EVGA SuperNOVA G2 550W (80+ Gold Certified, Modular) ($79.49 at SuperBiiz). Overall cost: $1245.68. Prices contain shipping, taxes, and any available discounts. Created by PCPartPicker on 2016-08-25.