Answer:Finding the GCD of 27, 9, and 45:Factors of 27: 1, 3, 9, 27Factors of 9: 1, 3, 9Factors of 45: 1, 3, 5, 9, 15, 45The largest factor common to all three numbers is 9. Therefore, the greatest number of pieces of fruits Lalaine can put in each basket is 9.