The hyperfine splitting of the ground state of H-, Li-, and B-like ions is investigated in details within the range of nuclear numbers Z = 7 − 28. The rigorous QED approach together with the large-scale configuration-interaction Dirac-Fock-Sturm method are employed for the evaluation of the interelectronicinteraction contributions of first and higher orders in 1/Z. The screened QED corrections are evaluated to all orders in αZ utilizing an effective potential approach. The influence of nuclear magnetization distribution is taken into account within the single-particle nuclear model. The specific differences between the hyperfinestructure level shifts of H-and Li-like ions, where the uncertainties associated with the nuclear structure corrections are significantly reduced, are also calculated.