After validating the non-magnetic and anti-ferromagnetic ground state for AGNRH and ZGNRH respectively, we proposed the plausibility of exploiting the ZGNRH in ferromagnetic state to operate as a spin filter. The desired spin-filtering effects are found to be further enhanced upon reducing width of ZGNRs in ferromagnetic state in such a way that only the width of scattering region is reduced, but keeping the width of electrode region fixed.