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Family name Buday (Buday , Vuday , Будай ) , all over the world, is quite a common cognomen. The cognomen Buday is habitual in Eastern Europe, particularly Slovakia, where it is quite a common surname, Hungary, and Belarus, where it is quite a rare surname. Measured by absolute frequency, it is the most numerous in Philippines, Slovakia, and Hungary. Much less frequently, Buday is the forename as well as the last name.