Systems and methods for frequency synthesis using a gapper and a multi-modulus divider. A frequency synthesizer may comprise a gapper, a multi-modulus divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.