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In all the world, Гаїн (Гаїн ) is an extremely rare unknown gender first name. Much more frequently, Гаїн is the last name as well as the forename.
Gayin, Hajin, and Hayin
Ігор, Юрій, Петро, Альона, Галина, Дмитро, Лариса, Сергій, and Валентина