Systems and methods for producing a frequency divider output signal having a period substantially equal to three times a period of a reference input signal, comprising configuring each of three storage elements to receive a first input, a second input, and a reference input signal, and to provide a storage element output, obtaining a frequency divider output signal from at least one storage element output, and using the storage element output from each of the three storage elements as an input to another one of the three storage elements, where a phase difference between the output of the first storage element and the output of the second storage element is substantially equal to 60°.