A lolly manufacturer makes red, green,yellow and orange coloured jubes. He has made 245700 red jubes, 132300 green jubes, 114660 yellow jubes and 207900 orange jubes. The manufacturer wishes to distribute the lollies equally among packers so that they have equal number of different coloured jubes. What is the greatest number of lollies that can be packaged ?
To distribute greatest and equal number of different coloured jubes means to distribute the number of lollies equal to G.C.F of these numbers.
By the division method, the common factors of 245700, 132300, 114660, 207900 can be determined as exemplified in the attached figure:
From the chart, the G.C.F. of these numbers is:
Therefore, the greatest number of lollies of each colour that can be packaged according to the given conditions is 1260.
Since there are lollies of four colours in total, the greatest number of lollies that can be packaged is 4*1260=5040