Defenseman Dougie Hamilton appeared to give the Flames a 2-0 lead on a shot from the point at 18:24 of the first, but Oilers coach Todd McLellan challenged the goal, and it was overturned after video review showed Colborne made contact with Talbot before the puck crossed the goal line.
Colborne gave the Flames a 2-0 lead at 15:13 of the second period, converting a cross-ice pass from Backlund.
Gaudreau scored to make it 3-0 at 3:11 of the third period, jamming a rebound past Talbot from the side of the net.
"I don't know if there is a number big enough to describe how disappointing that effort was," Oilers coach Todd McLellan said. "We've been together for 200 days and talked a lot about competing and working hard, and we get that? That's the exact crap we're trying to eradicate from this group. You work hard, you try to get some foundation and you give it all back in one night. We were outshot, we were out-hit, we were outscored, out-faceoffed, out-power-played, out-penalty-killed."