Will my graphics card work with 3 monitors?

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No, a single card will struggle with three monitors.

What you want are two cards in SLI - and because of the extreme resolution you're using, you need them to be high in VRAM.

What that would mean would be two 4GB 680s... but the 680 sucks anyways.

So get two 4GB 670s instead - the 680 is only 5% faster, which is NOT worth another $100.

Well then i might just reconsider getting 3 monitors, seeing even if i got the 670's (4gb), it would cost me almost 900 dollars for a SLI set up.

Would it really be necessary to get two 4gb 670's? I would figure if i had two cards in SLI, that were 2gbs each, id be getting 4gbs overall. Or would i need that much VRAM to game these 3 monitors?

Would a 680 4 gb be able to handle these three monitors, or would i still be stuck getting two for SLI?

Have you tried running three monitors on a single GTX680?

Yes you can, but at 1920x1080 on a 2Gb card you are going to be pushing it. Rather 2-way SLI it. A 4Gb will do a lot better but if you can SLI two 4Gb then it's a win win

Im in the middle of my computer build. I just dont want to go out and get 3 monitors, and get one 680 and then realize im going to have to get another one and have to come up with another 469.99 just to be able to game on my monitors. Thats why i wanted to ask before i buy graphics card and get stuck buying another one.

So do you think ill be safe going with one 4gb 680 running three monitors? ( i really dont have enough for two 680's at the moment)

That's more than reasonable, my question was directed at DarkSable though because of some nonsense that he's posted in other threads.

Ohh alright. But by the way, like i asked the other person, do you think if i upgrade to a 4gb 680, will it work better than a 2gb 680? What i mean is, will the difference be night and day, or will the difference not be worth another $100?

If you are intending to go multi monitor then more Vram is usually recommended but I can't say for sure as I only game on a single monitor.

4Gb will make a huge difference.
http://www.youtube.com/watch?v=RWG8smZzT90
http://www.youtube.com/watch?v=q0VNiWtQqb4