So in answer to your direct question, I would personally have no qualms about pairing a i7-3770K with up to a GTX 1080 Ti. However, it's best of you list your entire specs, if you want a more detailed answer. Your motherboard, memory, storage, specific manufacturer and model of power supply (not just advertised wattage). I'd also want to know two of three games that you're most interested in playing. A 1080 Ti would be nice, but if your system only had 4 GB of RAM and a slower HDD, then perhaps a GTX 1070 along with other component upgrades would be best. It all depends on your answers to my questions above. I'm even curious to know your specific model of display, because I'd like to know if it had adaptive sync built into it.