Havret, a Frenchman ranked 391st in the world, played in the same group with Tiger Woods and didn't let it bother him. He was within one of McDowell with two holes left but couldn't make birdie on the par-5 18th to tie.
Ernie Els finished third at 2 over.
Woods made four bogeys on the front nine en route to a 4-over 75. He tied for fourth with Phil Mickelson, the same spot he finished in at the Masters in April.