In the context of tribomechadynamics, hyper-reduction means that the deformations, as well as the contact and friction forces, are not computed based on all involved finite element nodes but in a reduced space. The goal is a reduction of the simulation time so that virtual tribomechadynamics becomes an efficient complement to test bench investigations and a useful tool for predictive simulation. In this work, an efficient hyper-reduction strategy for contact and friction forces is proposed. The available and a priori known space of possible gaps is used for the hyper-reduction of contact forces without using any snapshots. Friction forces on the other hand are computed based on snapshots stemming from a model order reduced simulation. After the theory has been explained, a generic example with bolted joints and different load cases is used to demonstrate the result quality of the method as well as the computational time savings.