A process for producing a main (hydro)halocarbon compound, including the formation of a mixture of compounds including hydrogen fluoride, Z-3,3,3-trifluoro-1-chloropropene and one or more other (hydro)halocarbon compounds, distillation of this mixture making it possible to collect, firstly, an azeotropic composition, and, secondly, at least one of the compounds of the mixture. The (hydro) halocarbon compounds are preferably selected among tetrachlorofluoropropanes, trichlorodifluoropropanes, dichlorotrifluoropropanes, chlorotetrafluoropropanes, pentafluoropropanes, dichlorodifluoropropenes, chlorotrifluoropropenes and tetrafluoropropenes.