A liquid crystal display and a method of operating the liquid crystal display, in which the liquid crystal display includes a liquid crystal panel, a gate driver, a gamma voltage generator, a data driver, and a gamma voltage compensator. The liquid crystal panel has a plurality of pixels respectively arranged in pixel areas defined by gate lines and data lines. The gate driver drives the gate lines, and the gamma voltage generator generates gamma voltages having different voltage levels from each other. The data driver drives the data lines according to the gamma voltages. The gamma voltage compensator compensates for at least one of the gamma voltages, which are generated from the gamma voltage generator, by using one of a gate-off voltage provided to the gate lines and a storage voltage provided to a storage capacitor included in the pixel.