In metal cutting and blanking processes, one of the primary technological challenges is the formation of burrs on the surfaces of cut parts, especially in thin materials. Many companies face the issue of excessive waste due to burr formation after cutting. Understanding the causes of this defect is complex. This paper presents the current state of knowledge and the authors' research on reducing burr occurrence on cut surfaces. The conditions for achieving a high-quality cut edge were determined through numerical and experimental studies. With the increase of the rake angle in shear-slitting, the burr height decreases. When cutting with trimming, the cutting clearance value should be within hc= 1-3% of the material thickness. When blanking, the cutting clearance should be less than 10% of the thickness of the material being cut. The findings support selecting optimal process conditions to minimise waste after cutting.