Sarah has 24 blue beads, 36 gold beads, 60 silver beads, and 72 purple beads. She is planning to decorate jewelry boxes for her friends and wants to distribute the beads evenly among the jewelry boxes. What is the greatest number of jewelry boxes that Eva can make

12 boxes

Step-by-step explanation:

Number of Blue Beads= 24

Number of Gold Beads= 36

Number of Silver Beads= 60

Number of Purple Beads= 72

If she plans to distribute the beads evenly in jewelry boxes, the highest number of boxes she can make will be determined by the Highest Common Factor (H.C.F.) of the number of beads.

We proceed to find the H.C.F. of 24, 36,60 &72.

First, express each number as a product of its prime factors.

24=2X2X2X3= 2³ X 3

36=2X2X3X3 = 2² X 3²

60=2X2X3X5 =2²X3X5

72=2X2X2X3X3 =2³ X 3²

Next we pick the terms with the lowest powers common to all.

H.C.F=2² X 3=4X3 =12

The greatest number of boxes Eva can make is 12.

n

step-by-step explanation:

c

step-by-step explanation: