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The status is reviewed of recent high precision measurements ofinclusive-jet, dijet and trijet production in deep-inelastic scattering andphotoproduction by the HERA experiments H1 and ZEUS. The measurements are ingood agreement with perturbative QCD calculations at next-to-leading order andare used for the extraction of the value of the strong coupling at the mass ofthe Z boson, \alpha_s(M_Z). The methods and results of the QCD analyses arepresented and a summary of the values of \alpha_s(M_Z) from recent jetmeasurements at HERA is given.

Precision jet measurements at HERA and determination of \alpha_s