Gavoury started his police career at Hazebrouck in 1936, occupying a variety of posts. He participated in the organization of the national police force of French Morocco between 1956 and 1959. Gavoury was assigned to Algiers beginning in 1960, retaining responsibilities in Morocco. His apartment in Algiers was bombed on 14 April 1961 during the Algerian War. Gavoury was at his family home in Charleville-Mézières at the time of the Algiers putsch of 1961. Gavoury immediately returned to Algiers, where he was killed a month later. Three more commissaires were killed that year in Algiers.