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Family name Cuk (Cuk , Ciuco , Цук ) , around the globe, is quite a common surname. The surname Cuk is characteristic of Southern Europe, particularly Slovenia, where it is quite a common surname, Serbia, and Bosnia and Herzegovina (explore the name in all countries). In absolute terms, it most frequently occurs in Serbia, Indonesia, and Slovenia. Much less frequently, Cuk is the forename as well as the last name.