The British Team Sky rider accelerated on each of the three ascents of the testing Arthurs Seat climb on stage four, and by the third time no-one had the legs to follow him.
Froome continued to take a solo victory on the stage, and with it the overall win.
Sky celebrated a riders on the first and second steps of the podium, as former race leader Peter Kennaugh did just enough to hang on to runner-up spot ahead of Damien Howson (Orica-GreenEdge).
The day’s fast-paced action topped off five days of racing that have shown off the early-season race to its fullest.
It will have done no harm to have a rider of the calibre of Froome adding his name to a list of winners that stretches back to 1952, and that also includes fellow British riders Bradley Wiggins and Malcolm Elliott.