A statement from the chef's family said: "The Rhodes family are deeply saddened to announce the passing of beloved husband, father and brother, Gary Rhodes OBE.
"The family would like to thank everyone for their support and ask for privacy during this time."
Celebrity chef Tom Kerridge runs the double-Michelin starred pub the Hand & Flowers, the one Michelin-starred the Coach, and the Butchers Tap, all in Marlow, Buckinghamshire highlighted his memories with Rhodes.
Great British Bake Off winner and celebrity licensee of the Green Man, Eversholt, Bedfordshire Candice Brown gave a similar sentiment.
Paul Ainsworth from the Mariners in Rock, Cornwall went into detail on his relationship with Rhodes.
The Parkers Arms in Newton-in-Bowland, Lancashire hailed the chef as an "inspiration".
The Michelin Guide said British gastronomy owed Rhodes.