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Family name Беркай (Berkay , Беркай ) , in all the world, is a rare last name. The family name Беркай is habitual in Turkey, where it is a rare surname, Bulgaria, and Kyrgyzstan, where it is a very rare surname. Measured by absolute frequency, it is commonest in Turkey, Germany, and Bulgaria. Much more prevalently, Беркай is the forename as well as the last name.