A grasping tool for obtaining a firm grasp on a nut or other fastener structure that may be deformed in size or shape by time and damage. The tool includes a series of elongated fingers arranged radially in a group and mounted for longitudinal movement in a sleeve. A nut or other fastener to be removed is placed between ends of the fingers extending from the sleeve. As the sleeve is moved toward the nut or other fastener the wall of the sleeve pushes the ends of the fingers inward, to grasp firmly the nut or other fastener to be removed. Various structures and methods may be used to move the sleeve over the fingers and to rotate the grasping tool once attached firmly to the nut or other structure to remove the nut or other structure.