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Family name Konar (Konar , Конар , كونار ) , throughout the world, is a common last name. The surname Konar is characteristic of British Virgin Islands, where it is quite a common surname, India, where it is quite a rare surname, and Turkey. Measured by absolute frequency, it is the most numerous in India, Turkey, and Ukraine. Much less frequently, Konar is the forename as well as the last name.