This paper provides an overview of four different types of grouping methods used within the concept of group technology. At the beginning, the concept of production system, basic and complex, is presented, and modern technologies that seek to reshape the existing company policy are listed. One of the modern technologies is group technology, which was later explained in detail. As an introduction to the subject of the paper, the purpose of grouping methods in general is explained, when the implementation began and what its beginnings looked like. The following is a more detailed explanation of the most common methods of grouping parts and an overview of the others. Special attention is given to the process method, ROC method, ALC method and on the k-means algorithm. These four methods are further used in calculations and groupings for three different types of binary matrices taken from three different literatures. Each method offered its own autonomous solution. In order to be able to choose an adequate method, ie a method that will suit a particular type of business system, the analysis and comparison of all results is created at the end of the paper.