What is the best way to compare values of whole tables between many databases?

We are trying to compare the values of whole tables between many databases. The user can enter in input the table names and the columns names, and the database names he wants to compare.

They can enter as many databases, tables and columns they wish. We want to compare rows per rows, only for the specified columns.

ex:
DatabaseA, DatabaseB, DatabaseC
Table1, Col1|Col2|Col3|Col4
Table2, Col1|Col4|Col5|Col6|Col20
...

So for an example, if I have:

DatabaseA
Table1, Col1|Col2|Col3|Col4 = 'Apple', 1, 10, 'ABC'

DatabaseB
Table1, Col1|Col2|Col3|Col4 = 'Banana', 1, 10, 'ABC'

There's a difference.

At first I was considering usign the CHECKSUM on each rows if each tables (excluding columns that where not specified by the user) and compare the CHECKSUM but I've read that it's not always unique.

Now I was thinking of using HASHBYTES instead. Either by doing this:

    SELECT HASHBYTES('sha2_512', CONVERT(NVARCHAR(MAX), ISNULL(col1,'')) +
           HASHBYTES('sha2_512', CONVERT(NVARCHAR(MAX), ISNULL(col2,'')) +
           HASHBYTES('sha2_512', CONVERT(NVARCHAR(MAX), ISNULL(col3,'')) +
           HASHBYTES('sha2_512', CONVERT(NVARCHAR(MAX), ISNULL(col4,'')) +
    FROM Table1

Or by doing this:

   With Vals AS 
   (
       SELECT CONVERT(NVARCHAR(MAX), ISNULL(col1, '')) + 
              CONVERT(NVARCHAR(MAX), ISNULL(col2, '')) + 
              CONVERT(NVARCHAR(MAX), ISNULL(col3, '')) + 
              CONVERT(NVARCHAR(MAX), ISNULL(col4, ''))  AS Val
       FROM Table1
   )
   SELECT HASHBYTES ('sha2_512', Val) FROM Vals

What do you think? How would you do it? What would be the best way?

Thanks