A multi-modulus divider (MMD) receives an MMD input signal and outputs an MMD output signal SOUT. The MMD includes a chain of modulus divider stages (MDSs). Each MDS receives an input signal, divides it by either two or three, and outputs the result as an output signal. Each MDS responds to its own modulus control signal that controls whether it divides by two or three. In one example, a sequential logic element outputs SOUT. The low jitter modulus control signal of one of the first MDS stages of the chain is used to place a sequential logic element into a first state. The output signal of one of the MDS stages in the middle of the chain is used to place the sequential logic element into a second state. Power consumption is low because the sequential logic element is not clocked at the high frequency of the MMD input signal.