Clock divider with a rational division factor

This disclosure can provide methods, apparatus, and systems for dividing an input clock or master clock by an integer or non-integer divisor and generating one or more balanced, i.e., 50% duty cycle, divided that are phase-aligned to the input clock. The non-integer divisors can include half-integers, N/2, e.g. the division can be denoted 2:N. The value of N for each phase-aligned, balanced, divided clock can be distinct. The method can include generating an input clock signal having an input clock frequency, generating a secondary clock signal that transitions between a first state and a second state based on the input clock signal, generating a delayed secondary clock signal that is time delayed relative to the secondary clock signal, and generating the output clock signal that has a frequency that is a non-integer division of the input clock frequency.