DNA gyrase is a type of
Topoisomerases classified mechanistically by whether cleavage of one versus two DNA strands occurs during catalytic cycle. Type I cuts single strand allowing rotation to change linking number in steps of one. Type II cuts both strands, passes intact duplex through break, alters linking number by two. DNA gyrase and topoisomerase IV are bacterial type II enzymes requiring ATP and Mg2+ forming transient covalent phosphotyrosine intermediates. Gyrase uniquely introduces negative supercoils and removes positive supercoils ahead of replication, while topo IV primarily decatenates chromosomes. Doubl
Ref: Berg et al., Biochemistry, 9th ed., Chapter 27: Type II topoisomerases, DNA gyrase mechanism and classification