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Surname Fáy (Fáy , Фай ) , across the world, is a rare cognomen. The family name Fáy is habitual in Eastern Europe, particularly Hungary, where it is quite a rare surname, Ukraine, where it is a rare surname, and Belarus, where it is a very rare surname. Measured by absolute frequency, this name is the most popular in Eastern Europe, particularly Ukraine, Hungary, and Russia. Much less frequently, Fáy is the forename as well as the last name.