Embodiments relate to a gate driving integrated circuit and an operating method thereof operating in a time-division method divided into a display period and a touch period. The gate driving integrated circuit includes a charging circuit, a gate control circuit, and a discharging circuit. The charging circuit charges a memory element. The discharging circuit discharges the memory element. The gate control circuit outputs a gate-on voltage to a gate line based on the charged memory element in during display period. The gate control circuit electrically disconnects the memory element from the gate control circuit during the touch period.