The department store founded in 1908 by Harry Gordon Selfridge struggled during the coronavirus pandemic as lockdowns, travel restrictions and low consumer confidence hit the retail sector.
The Westons launched an auction in the summer with Credit Suisse, garnering the attention of the Qatar Investment Authority, Hong Kong's Lane Crawford and Canada's Hudson's Bay Company. The Westons will retain the Canadian business, Holt Renfrew.
The buyers will each have a 50 per cent stake.
Tos Chirathivat, the grandson of Central's founder and head of the company, said: "As family businesses, Central and Signa will focus on delivering exceptional and inclusive store and digital experiences for both local residents and overseas visitors alike, to ensure we can give all the stores in Selfridges Group a bright future for the next 100 years."