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Family name Crag (Crag ) , across the world, is a very rare last name. The family name Crag is habitual in the United Kingdom, where it is a very rare surname, Canada, where it is an extremely rare surname, and the United States. Measured by absolute frequency, it most frequently occurs in China, the United Kingdom, and the United States. More prevalently, Crag is the forename as well as the last name.