This is a table to make a relationship between the version of Hyper-V Integration Components and the corresponding operating system level, installed updates and hotfixes.

This is an unofficial list that is updated manually. Feel free to add missing information.

Duplicate Content - Hyper-V Integration Services: List of Build Numbers

Windows  Server 2008

Operating System version + updates

Integration Components

W2K8 RTM

6.0.6001.17101

W2K8 RTM + Hyper-V RTM (KB 950050)

6.0.6001.18016

W2K8 + KB 956710

6.0.6001.22258

W2K8 + KB 959962

6.0.6001.22352

W2K8 + SP2

6.0.6002.18005

W2K8 + KB 975925

6.0.6002.22233

 

Windows Server 2008 R2

Operating System version + updates

Integration Components

W2K8 R2 RTM

6.1.7600.16385

W2K8 R2 + KB 975354

6.1.7600.20542

W2K8 R2 + KB 981836

6.1.7600.20683

W2K8 R2 + KB 2223005

6.1.7600.20778

W2K8 R2 + SP1 Beta

6.1.7601.16562

W2K8 R2 + SP1 RC

6.1.7601.17105

W2K8 R2 + SP1 RTM

6.1.7601.17514

 

Windows Server 2012 

Operating System version + updates

Integration Components

Windows Server 2012 RTM

6.2.9200.16384

Windows Server 2012 + KB2770917 6.2.9200.16433

 

Windows Server 2012 R2

Operating System version + updates

Integration Components

Windows Server 2012 R2 RTM

6.3.9600.16384

Windows Server 2012 R2 + KB 3063283

6.3.9600.17831

Windows Server 2012 R2 + KB 3063109

6.3.9600.18080

Windows Server 2012 R2 + KB 3161606
6.3.9600.18339 
Windows Server 2012 R2 + KB 3172614
6.3.9600.18398 

 

References

https://blogs.technet.microsoft.com/cedward/2010/12/24/hyper-v-integration-components-version-list-table/