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Family name Гаїн (Гаїн ) , in all the world, is a very rare cognomen. The cognomen Гаїн is characteristic of Eastern Europe, particularly Ukraine, where it is a very rare surname.
Gayin, Hajin, and Hayin
Ігор, Юрій, Петро, Альона, Галина, Дмитро, Лариса, Сергій, and Валентина