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Last name Bogar (Bogar , Богар ) , around the globe, is a common family name. The last name Bogar is characteristic of Eastern Europe, particularly Hungary, where it is quite a common surname, Slovakia, and Ukraine, where it is quite a rare surname. Measured by absolute frequency, this name is the most popular in India, Ukraine, and Hungary. Much less frequently, Bogar is the forename as well as the last name.