Most of the Windows administrators are not aware of procedure to move existing Windows Fail over Cluster File Share Witness directory to new Servers, following is a quick three step guideline.

Step 1: Find out the Quorum Type

Run the PowerShell as Administrator

Get-ClusterQuorum

output: Cluster Name, Quorum Resource and Quorum Type.

Step 2: Change the existing Quorum Type from NodeAndFileShareMajority to NodeMajority

Set-ClusterQuorum -NodeMajority

Output: Cluster Name & Quorum Resource Null

The movement the Step 2 get completed successfully it will delete existing FSW from Cluster resource.

Step 3: Recreate FSW with NodeAndFileShareMajority at new Server

Set-ClusterQuorum -NodeAndFileShareMajority \\FileServer\Shared_FSW

After successful completion of step 3 the FSW will get created and ready to use.