This methodology provides a way to calculate the accuracy of the kinematic chains in metal-cutting machines—specifically those used for gear and screw processing—and examines how this accuracy impacts the precision of the finished parts, such as gear and worm wheels. It is intended for students across all forms of study, including undergraduates, specialists, and master's students enrolled in programs like 151000, 151900 "Design and Technological Support of Mechanical Engineering Productions," 150900 "Technology, Equipment, and Automation of Mechanical Engineering," and 150700 "Mechanical Engineering." The material supports the study of courses such as "Metal-Cutting Machines," "Calculation, Modeling, and Design of Computer-Controlled Equipment," "Mathematical Modeling in Mechanical Engineering," as well as for thesis projects, coursework, and master's dissertations related to these disciplines.