How can I remove all borders around all cells in a table in google docs?
You cant remove table borders in Google docs, but certainly you can invisible them.
Simply right-click on the table and go to Table properties.
You can make the width of the border to 0pt. click ok, Now your table borders will disappear.
Similarly, you can remove or modify the border of the selected cell, column or raw by the tools marked in the following image.