How would I duplicate MouseButton1Click events?

As I expand my game, my scripts are getting... too long, and I don't want to type in event:Connect(function() for each Gui Button, How would I avoid this? For Instance, this is how I want it to work:

--Menu = "ScreenGui"


--(LocalScript in StarterGui)
for i = 1,20 do
    Button = Instance.new("TextButton")
    Button.Name = "Button"..i
    Button.Parent = script.Parent
end




for i, v in pairs(script.Parent.Menu:GetChildren()) do
-----------------------------EVENT-------------------------------------------------
    v.MouseButton1Click:Connect(function()
        print("Yay!")
    end
end

This is a rough example, but this is how I want it to work, each event is going to export the button number to a function called "Save", and I do not have to type in every one.