Mae yna gefnogaeth gref i’r CGACh yng nghymuned Gwent, ymhlith Byrddau Iechyd Lleol eraill yn ardal Rhaglen De Cymru, gan y pum cyngor bwrdeistref yng Ngwent, y Cyngor Iechyd Cymuned lleol ac ystod o grwpiau gwirfoddol a chymunedol.
The SCCC has strong support in the Gwent community, among other Local Health Boards in the South Wales Programme area, from the five Gwent Borough councils, the local Community Health Council and a range of voluntary and community groups.