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Last name Γρηγορίου (Grigoriou , Γρηγορίου ) , across the world, is quite a common family name. The cognomen Γρηγορίου is habitual in Cyprus, where it is a common surname, Greece, where it is quite a common surname, and Denmark, where it is a rare surname. Not in comparison with a country's population, it is commonest in Greece, Cyprus, and Australia.