Sodhi, Boult and Southee picked up seven wickets between them before Guptill struck a 46-ball 71.
Hosts setup the World Test Championship final against New Zealand in June 2021 with series-clinching innings win.
India are back at the top in the ICC Test Team Rankings after winning the fourth Test.
Chasing 161 to seal the series, West Indies were bowled out for just 117.
Wicketkeeper collaborated with Sundar to score a century stand for the seventh wicket.
Aaron Finch, bowlers shine as Aussies crush Kiwis by 50 runs to level T20I series 2-2.
India lose Gill early after spinners haunt England. Ben Stokes made 55.
Akila Dananjaya had a day to remember and a day to forget in the space of an over.
Sean Williams century, Blessing Muzarabani and Victor Nyauchi bowling leads visitors to a 10-wicket win.
New Zealand fall apart after a decent start to go down by 64 runs in the third game.