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Mohit, who is usually a reliable death bowler, was taken to the cleaners by DC captain Rishabh Pant in the final over of the innings.
The victory lifted DC to sixth place with eight points from nine games, while GT slumped to seventh with eight points from nine matches.
Pant scored an unbeaten 88 as Delhi Capitals posted 224/4 before winning by 4 runs.
It was Travis Head's 32-ball-89 and his carnage in unison with Abhishek Sharma (46 off 12 balls) that ensured another match-winning total of 266/7 for SRH in their 20 overs.
SRH openers added 125/0 in six overs after being put in to bat by Delhi Capitals skipper Rishabh Pant.
Malayali pacer Sandeep Warrier bagged two wickets for Gujarat Titans.
The 32-year-old, who is widely expected to captain Australia in the showpiece event in the US and West Indies, sat out Delhi's last two IPL games against Mumbai Indians and Lucknow Super Giants.
Fraser-McGurk made 55 from 35 balls as Delhi Capitals returned to winnings ways.
Fraser-McGurk smashed five maximums in his 35-ball 55 and shared a 77-run stand with Pant (41 off 24 balls) as Delhi Capitals overhauled LSG's 167/7 in 18.1 overs.
Delhi ended up with 205/8 in their pursuit of 235 despite a blinder by Tristan Stubbs (71 from 25 balls).