Jewelery maker has 24 jade beads 30 teak Beads So we need to find the highest common factor for both 24 and 30 The factors for both numbers are 24 -1,2,3,4,6,8,12,24 30 - 1,2,3,5,6,10,15,30 The highest common factor for both is 6 The greatest number of necklaces she can make is 6 Number of jade beads - 24/6 = 4 jade beads Number of teak beads - 30/6 = 5 teak beads So each necklace will have 4 jade beads and 5 teak beads