How to find equal segments line lengths between lines of differnt length

I have two lines of different length, L1 and L2. I would like to divide each line into segments such that the segment length is a common length between the two lines and the segment length divides into each line evenly.

For example, if L1=4 and L2=10 then one possible segment length would be 2. L1 / 2 = 2 and L2/2 = 5.

Is there a formula for this? What if there were three lines instead of two lines?