It's a tight fit, but you may be able to have it squeezed in, other than that you may have to settle for AMD. You won't get too far in terms of modern gaming, even moreso with releases to be, it won't be future proofed much at all, so my personal advice is save up some more money and aim for a build at a minimum between £800-1k, anything more you manage to save to can only improve the rig and make it last a fair bit longer than one under your current budget.
Of course, I realise you may not for some reason have this kind of choice, but it is just a suggestion after all. If you are eager to just go with that budget, someone is sure to come along to help you with it (I would, but admittedly not the best with speccing, ESP with a low budget, I tend to see a lot of things and end up adding them all and effectively doubling or even tripling the price! )
Edit,with no operating system
Case
InWIN MANA-136 BLACK GAMING CASE
Processor (CPU)
Intel® Core™i5 Quad Core Processor i5-3570 (3.4GHz) 6MB Cache
Motherboard
ASUS® P8Z77-V LX: USB 3.0, SATA 6GBs, ATI®CrossFireX
Memory (RAM)
4GB SAMSUNG DUAL-DDR3 1333MHz (1 X 4GB)
Graphics Card
2GB NVIDIA GEFORCE GTX 660 - DVI, HDMI, VGA - 3D Vision Ready
Memory - 1st Hard Disk
500GB WD CAVIAR BLACK WD5003AZEX, SATA 6 Gb/s, 64MB CACHE (7200rpm)
1st DVD/BLU-RAY Drive
24x DUAL LAYER DVD WRITER ±R/±RW/RAM
Power Supply
450W Quiet 80 PLUS Dual Rail PSU + 120mm Case Fan
Processor Cooling
INTEL SOCKET LGA1155 STANDARD CPU COOLER
Sound Card
ONBOARD 6 CHANNEL (5.1) HIGH DEF AUDIO (AS STANDARD)
Network Facilities
10/100/1000 GIGABIT LAN PORT - AS STANDARD ON ALL PCs
USB Options
6 x USB 2.0 PORTS @ BACK PANEL (MIN 2 FRONT PORTS) AS STANDARD
Operating System
NO OPERATING SYSTEM REQUIRED
Office Software
NO OFFICE SOFTWARE
Anti-Virus
NO ANTI-VIRUS SOFTWARE
Warranty
3 Year Silver Warranty (1 Year Collect & Return, 1 Year Parts, 3 Year Labour) (£5)
Delivery
STANDARD INSURED DELIVERY TO UK MAINLAND (MON-FRI)
Build Time
Standard Build - Approximately 7 to 9 working days
Quantity
1