In this paper, we study some properties of GC-flat R-modules, where C is a semidualizing module over a commutative ring R and we investigate the relation between the GC-yoke with the C-yoke of a module as well as the relation between the GC-flat resolution and the flat resolution of a module over GF-closed rings. We also obtain a criterion for computing the GC-flat dimension of modules. © 2019 Charles University, Faculty of Mathematics and Physics.