The FDJ rider beat Sylvain Georges (AG2R) and Pierre Rolland (Europcar) at the end of the 206.5km race in wet conditions.
They were part of a four-man group that made a decisive move on the final climb of the Mur des Champeaux and finished 21 seconds clear.
"At the top of the climb, Pierre (Rolland) had revived like crazy. It was a good wheel to take," said Fedrigo.
The semi classic, a 1.1 event on the UCI Europe Tour, was particularly active after the start in Magnanville, near Paris, with a host of short-lived attacks.
A group featuring Guillaume Bonnafond (AG2R La Mondiale), Perrig Quémeneur (Europcar), Fabien Schmidt (Sojasun), Alexandre Blain and Rob Britton (Raleigh), Kevin Lalouette (Roubaix-Lille Métropole), Romain Hardy (Cofidis), Cedric Pineau (FDJ) and Tim Declercq (TopSport-Vlaanderen) eventually established a lead close to two minutes.
That advantage was inside a minute with 45km remaining before the group split with new riders bridging the gap to Britton, Pineau and Declercq.
Mike Terpstra (Team 3M) broke away from his fellow escapees and had a 12-second lead but his bid to shock the three World Tour teams in attendance was foiled as he was caught on the Champeaux which peaked with 10km to go.
Eventually a four-man group formed on the run-in, also featuring Julien Antomarchi, and it was the 34-year-old from Lot-et-Garonne who had the legs to record his first success since clinching stage 15 of last year's Tour de France.