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Last name Banyai (Banyai , Bányai , ต้นไทร) , across the world, is quite a common cognomen. The family name Banyai is habitual in Eastern Europe, particularly Hungary, where it is quite a common surname, Romania, where it is quite a rare surname, and Slovakia, where it is a rare surname. Measured by absolute frequency, the name is most common in Hungary, Romania, and the United States. Much less frequently, Banyai is the forename as well as the last name.