The most commonly used holding device for a drill applied on a vertical mill is a:

The most commonly used holding device for a drill applied on a vertical mill is a drill chuck. A drill chuck is specifically designed to securely hold a drill bit, allowing it to rotate and cut effectively while maintaining precision.

In the context of a vertical milling machine, drill chucks are favored because they can accommodate a wide range of drill bit sizes, providing flexibility for various applications. They also enable quick changes of drill bits, which is essential for improving efficiency in manufacturing settings.

While collets are also used in milling applications, they are typically more suitable for holding end mills and other specific tool types rather than drills. Vises are primarily used for holding workpieces securely during machining operations, and clamps are used to secure components to the machine table. However, when it comes to the specific task of holding drill bits, a drill chuck stands out as the most appropriate and effective choice.