Gomez, of Cohasset, cast himself as the new face of the Republican Party, which has struggled to reach out to minority populations following the defeat last year of GOP presidential candidate and former Gov. Mitt Romney.
Gomez has introduced himself in Spanish in campaign ads and on the stump in a state where Hispanic voters are a small but growing slice of the population.
Sullivan, an early favorite among conservative Republicans, touted his law enforcement and national security background, having helped investigate the Sept. 11, 2001, terror attacks and the failed attempt to blow up an airliner using shoe bombs.
But Sullivan, of Abington, collected the smallest amount of campaign contributions of the three GOP candidates and was unable to run any statewide TV ads.
Winslow, a former judge from Norfolk who served as chief legal counsel in Romney’s administration, finished third despite putting $150,000 of his own cash into the race.