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Surname Ungar (Ungar , Унгар , 恩戈 ) , in the world, is quite a common family name. The surname Ungar is characteristic of Israel, where it is quite a common surname, Hungary, where it is quite a rare surname, and Austria. Not in comparison with a country's population, it is commonest in Israel, the United States, and India. Much less frequently, Ungar is the forename as well as the last name.