Liquid crystal display and driving apparatus thereof

A liquid crystal display and an apparatus of driving display device including a plurality of pixels arrange in a matrix according to an embodiment of the present invention includes: a signal controller converting an input image data ("current input image data") inputted at a first frequency into a plurality of output image data to be outputted at a second frequency; and a data driver converting the output image data supplied from the signal controller into analog data voltages and applying the data voltages to a pixel, wherein the output image data includes a highest output image data that gives the highest luminance to the pixel, and the highest output image data is determined by comparing the current input image data with an input image data of a previous frame ("previous input image data).