In an effort to derive the low-field anomalous M-H loops of high-Tc granular ceramic superconductors a two-component critical state model has been used where the grains and the grain boundaries (GB) have simultaneously been treated with different critical current densities and different magnetic field dependences of the critical current densities, Jc(H). This model is able to yield both low- and high-field M-H loops. Various models for field dependence of Jc(H) like the Bean, Kim and exponential type Jc(H) for grains and the Kim or power-law type Jc(H) for the GB have been tried. Both infinite cylinder and slab geometries have been studied.