Adil Rashid finished with a five-wicket haul, with four wickets in the final five balls of the innings to cap off England's 29-run win as WI were bowled out for 389.
Carlos Brathwaite and Ashley Nurse revived Windies' chase with a solid 88-run stand, but fell in successive balls to Adil Rashid, which handed England the game.
Mark Wood dealt Windies a double blow in his return spell to send back Bravo, breaking a 176-run stand between Gayle and him, before getting Hetmyer in the same over.
Gayle also reached the landmark of 10000 ODI runs.
Chris Gayle belted his 500th international six en route a spectacular century.
Windies lost two early wickets in a mammoth chase while Chris Gayle scored his third fifty-plus score in as many innings.
Jos Buttler raced away to his 150 off just 77 balls, with the last 100 runs coming off just 32, before England finished with 418/6.
Eoin Morgan fell for 103.
After losing wickets in quick succession, Jos Buttler and Eoin Morgan came together to add over 200 runs - the highest fourth-wicket stand in West Indies against the Windies.
Jonny Bairstow and Alex Hales shared a century stand for the opening wicket to get England off to a solid start.