The Gigabyte card. Even though it's GTX 680
They reviewed the same type and brand card but for the GTX 670 version
On Tom's Hardware's Seven GeForce GTX 670 Cards, Benchmarked And Reviewed
All-Around Best GeForce GTX 670: Gigabyte N670OC-2GD
Gigabyte's card is quiet at idle and not too loud under load. Its cooling performance at idle, during normal desktop work, and during gaming is even better than Asus' card. It ties Zotac's effort for the lowest temperature at idle, but achieves its goal at a mere 20% fan duty cycle. When we configured it to cool our card down to 70°C, its sound level was still acceptable.
This is the slimmest card in our test, it weighs the least, and is even suitable for SLI configurations on motherboards with a just a single-slot gap between 16-lane interfaces. Unfortunately, that's pretty common. Although the N670OC-2GD doesn't include the highest overclock, it's currently selling online at the same $400 price point as completely stock reference cards. And that's with the Windforce 3X cooler. That combination cannot be beat.