A frequency dividing apparatus includes: a plurality of latching devices arranged to selectively generate an output signal having a first oscillating frequency or a second oscillating frequency different from the first oscillating frequency according to an input clock signal and a first reset signal; and a controlling device arranged to generate the first reset signal at least according to a programming input signal; wherein the first reset signal is arranged to reset a first latching device in the plurality of latching devices to make the plurality of latching devices to generate the output signal having the second oscillating frequency.