The use of non-contact magnetic transmission, such as Coaxial Magnetic Gears (CMGs), has become increasingly significant in the industrial sector. However, designing for high reduction ratios poses CMGs with strict challenges in size and manufacturing. This paper proposes a Repulsive-type Cycloidal Magnetic Gear (RCMG) as a means to address the increasing demand for high reduction ratios and longer lifespans prevalent in recent years. Transmission is achieved through the principle of magnetic repulsion, resulting in a reduction ratio of 19:1. In addition, this study explores the two modes of operation of the RCMG through analytical derivations and FEA software. Characteristics such as bearing load, slip torque, and reduction ratio were analyzed. This framework not only achieves a high reduction ratio but also significantly reduces the bearing load. Finally, this paper prototypes a model to validate the slip torque and reduction ratio.