Suzanne will use orange and blue beads to make bracelets. she will use the same number of orange beads on each bracelet and the same number of blue beads on each bracelet. she has 72 orange beads and 78 blue beads. what is the greatest number of bracelets that she can make that will have the greatest number of orange beads and blue beads?

The greatest number of orange beads and blue beads bracelets will be 6.

Step-by-step explanation:

Here you find the largest factor shared by the two numbers : 72 and 78. This is the same as finding the G.C.F of a set of numbers.In finding the greatest common factor, list the prime factor of each number and multiply the factors that both numbers have in common. In this case, it will be:

     72             78  divided by 2

2    36             39  divided by 3

3    12              13  no common divider

The greatest number of orange beads and blue beads bracelets will be 2*3=6

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Keywords : greatest number

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.