2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164765It is known that Garside groups are strongly translation discrete. In this paper, we show that the translation numbers in a Garside group are rational with uniformly bounded denominators and can be computed in finite time. As an application, we give solutions to some group-theoretic problems.12 pages, to appear in J. Pure Appl. AlgebraGeometric TopologyGroup Theory20F36;20F10text