A variety of problems has led to their demise - including the deaths of many high-ranking members/OG's (Little Devil, Big Devil, Tony) along with the death of Sweet's (leader of the Grove Street Families) family members (Brian Johnson and Beverly Johnson).
On top of this, the Grove Street Families have split up into different warring sets (Temple Drive Families and the Seville Boulevard Families) - causing inter-hostilities.
The Families also maintain rivalries with the two Mexican gangs in Los Santos - the Los Santos Vagos and the Varrios Los Aztecas.
They are easily identifiable by their green gang color.
They are headed by Sean "Sweet" Johnson and Carl Johnson as well as former lieutenants and OGs, Lance "Ryder" Wilson and Melvin "Big Smoke" Harris.
The Families also have a history of a traditional, intense, and bloody rivalry with the Ballas.
Specifically when the gang war started is unknown, but the rivalry between the two gangs was in full swing as early as 1987.