In one embodiment of the invention, an integrated device is described that employs a mechanism to control power consumption of a graphics memory controller hub (GMCH) through both voltage and frequency adjustment of clock signal received from a clock generator. The GMCH comprises a graphics core and a circuit to alter operational behavior, such as the frequency of a render clock signal supplied to the graphics core. The circuit is adapted to monitor idleness of the graphics core and reduce a frequency level of the render clock signal if the idleness exceeds a determined percentage of time.