Openers Prithvi Shaw (33 not out) and Lokesh Rahul (33 not out) guided the side home easily in just 16.1 overs on the third day of the Test.
Yadav took 4-45 while Jadeja returned 3-12 as the West Indies crashed to 127 all out in 46.1 overs in their second innings on Sunday, leaving a paltry 78-run target for India.
Umesh Yadav will replace the injured Shardul Thakur in the Indian squad for the first two One-Day Internationals against Windies, the BCCI announced on Tuesday.Thakur suffered a groin injury during the recently concluded second Test against Windies in Hyderabad which was incidentally his Test debut.
India celebrate their test series win over West Indies.
Gabriel finally performed the last rites as he bowled out Ashwin as India managed to take a 56-run lead in reply to the West Indies' first innings total of 311 runs. Earlier, Roston Chase completed his fourth test century before Umesh Yadav, who registered a career-best 6-88, dismissed him for 106.
Fast bowler Shannon Gabriel claimed three for 107, while left-arm spinner Jomel Warrican, in his first Test in almost three years, ended with two for 84.
Rahane's overnight partner Rishabh Pant was also denied a century when he was caught on 92 by Shimron Hetmyer in the covers off fast bowler Shannon Gabriel, who ended with three wickets.
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Out of the four innings in this series, West Indies couldn't cross the 200-run mark thrice which was a testimony to their plight during the series.
Kieran Powell (6) edged one off Ravichandran Ashwin to Ajinkya Rahane in the slips.
Umesh Yadav has been named his replacement in the squad who has been immediately rewarded for his heroics in Hyderabad Test.
The two sides will now clash in the five-match ODI rubber, starting October 21 in Guwahati.
Jason Holder (19) and Sunil Ambris (38) added 38 runs for the seventh wicket but once Holder edged one to Pant off Jadeja, any chances of the match going to the fourth day slowly disappeared.
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