Systems and methods suitable for cutting a material and deburring devices for performing a deburring operation on an edge of the material. Such a system includes a frame and table systems supported by the frame. Each table system includes a table for supporting the material and each table system is independently movable relative to the frame in lateral directions. A first carriage unit and second carriage units are supported by the frame and independently operable to travel in a travel direction transverse to the lateral directions. The first carriage unit includes multiple cutting devices, and the second carriage units includes multiple deburring devices. Each cutting device operates in conjunction with a corresponding one of the deburring devices, and the cutting and deburring devices are independently operable to cause the cutting devices and the deburring devices to simultaneously travel in the travel direction.