Joe Root also reached his century at better than a run ball, finishing with 102 from 97 balls to become just the second player after Hashim Amla to make three ODI centuries against the West Indies in the Caribbean.
The ´man of the series´ with 18 wickets as the West Indies surprised England 2-1 to reclaim the Wisden Trophy in the preceding Test duel, Roach has been ruled out of the entire ODI series due to early signs of what could develop into a stress fracture of the lower back.
Roy slammed 15 fours and three sixes in scoring his seventh ODI hundred but lived a charmed life, benefitting from four chances on 75, 82, 107 and 119.
Jonny Bairstow played a minor role by comparison, first man down for 34, but Morgan highlighted an electric opening stand of 91 between him and Roy as a pivotal period.
His tally of maximums dominated an innings in which 23 sixes were struck, a new record for an ODI innings.
He was dropped by Jason Roy when he was on just nine, when the Englishman grassed a straightforward chance at point off the bowling of Liam Plunkett. He was eventually out edging Bishoo to a diving Darren Bravo at short third man.
Eoin Morgan contributed 65 runs off 51 deliveries before spooning Thomas to Holder at mid-off and, with Root and Ben Stokes at the crease, England needed 36 runs off 36 balls.
Late fashion designer, Karl Lagerfeld leaves $200m fortune to cat
The late fashion icon also announced Choupette would inherit some of his fortune in an interview with Numero magazine a year ago. Lagerfeld was looking after the cat while Giabiconi was travelling, but fell so in love that he refused to hand her back over.
Root brought up his ton with a four off Holder but he was out two balls later, caught at deep square leg off a full toss with scores level.
England's 4-364 was the third highest successful run chase of all time, with the visitors winning with eight balls to spare.
Gayle's heroics had already seen him set a personal record, the opener moving past Shahid Afridi with the most sixes in worldwide cricket.
Hope - who had already overtaken Gayle after coming in at No. 3 - hit a enormous straight six off Moeen which landed on the roof of the media centre, some five storeys high.
It was Gayle's 24th ODI century and as he reached that mark he dropped to his knees, then raised his bat, with his helmet placed on top of it.
Moeen Ali had a chastening day with the ball, going for 85 runs from his 10, including four sixes in one over, as Gayle and Bravo thumped two each. Gayle was finally dismissed when he dragged a Stokes delivery on to his stumps but he looked supremely satisfied as he walked off the field to thunderous applause.