GMA (Gamut Mapping Algorithm) is an essential technology to color appearance matching across the different devices or media. We have been introduced a design concept of 3D Image-to-Device GMA using compact GBD (Gamut Boundary Descriptor) and its extension into bi-directional versatile GMA with gamut compression from wide to narrow or gamut expansion from narrow to wide, depending on the image color distribution. Both algorithms were based on the common concept of “image-dependent”. Until now, GMA was mainly accomplished that was mapped the image into the printer gamut. However, because the observation method of the image has various devices, a versatile GMA adapted to a variety of display devices is necessary. In this paper, the gamut of display devices (such as LCD(liquid-crystal display) and CRT(cathode ray tube), etc) and printer devices (such as ink-jet- and toner-based-printer) was discussed in CIELAB space, and the versatile GMA was presented that image was well adapted to each device gamut using compact GBD.