In reply, David Miller smashed an unbeaten 51-ball 94, while stand-in skipper Rashid Khan slammed a 21-ball 40 as GT chased down the total with one ball to spare.
Earlier, Gaikwad returned to form with a scintillating innings, which was studded with five sixes and as many fours, while Rayudu had four hits to the fence and two maximums.
For GT, Alzarri Joseph (2/34) took two wickets, while Mohammed Shami (1/20) and Yash Dayal (1/40) claimed one each.
Brief scores:
Chennai Super Kings: 169 for 5 in 20 overs (Ruturaj Gaikwad 73; Alzarri Joseph 2/34).
Gujarat Titans: 170 for 7 in 19.5 overs (David Miller 94; Dwayne Bravo 3/23, Maheesh Theekshana 2/24).
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