Question 285489
You have:


280 green
240 blue
200 yellow


ratio of beads is 280:240:200


divide each one of these by 200 and you get:


ratio of beads is 1.4:1.2:1


The smallest integer you can multiply each of these by is 5 in order to get all integers.


You get ratio of beads is 7:6:5


With that ratio you can make 40 strings of beads.


That would be the greatest number of identical beads.


You can make less strings of beads with more beads on each string and use up all the beads, but you can't make more strings of beads with less beads on each string because then you will not be able to use all of the beads.