On a blue vertical rectangle arched convexly at top and bottom and edged with a 1/8 inch (.32 cm) red border, a white ram's head cropped and detailed blue, its head in a butting position. Attached above the rectangle, a blue scroll edged with a 1/8 inch (.32 cm) red border inscribed "GCHS" in white letters. Attached below the rectangle, a blue scroll edged with a 1/8 inch (.32 cm) red border inscribed "RAMS" in white letters. The overall dimensions are 3 1/2 inches (8.89 cm) in height and 2 5/8 inches (6.67 cm) in width.
Blue and white are the school colors. Blue represents loyalty and truth two attributes the cadets pursue in their education and training. White represents perfection; a goal the cadets seek to achieve in everything they do. Red represents patriotism a great attribute the cadets have for their country. The ram is the school's mascot and represents courage and zeal. The students identify with their mascot in their pursuit of academic as well as athletic achievements.
The shoulder sleeve insignia was authorized 28 April 2011. (TIOH Drawing Number A-10J-963)