Compare values of JSON object with other object values

Question

I have a json file with 20 objects. Some of the objects have duplicate key/value pairs or only values. I want to remove those objects and add them to a new object "common".

This is an example of three json objects:

{
  "object1": {
    "city": "Lazy Town",
    "country": "Fallador",
    "salutation": "Dear"
  },
  "object2": {
    "name": "The five",
    "city": "Ghost Town",
    "school": "Fallador"
  },
  "object3": {
    "name": "The five",
    "stad": "Ghost Town",
    "country": "Fallador",
    "salutation": "Dear"
  }
}

I want to achieve the following:

{
    "common" : {
        "city" : "Ghost Town",
        "country": "Fallador",
        "salutation" : "Dear"
        },
    "object1": {
        "city": "Lazy Town"
        },
    "object2": {
        "name": "The five",
        "city": "Ghost Town"
        },
    "object3": {
        "name": "The five",
        "stad": "Ghost Town"
        }
}

I need to compare the values only, as you can see the keys could contain the same value but keyname can be different.

Can someone advise me how I can achieve this? With an example if possible in C#, Java, Python or any other language.

Thanks in advance!