bibay has 48 pieces of mangoes, jabby has 32 pieces, and kyla has 64 pieces. they want to put it in baskets with the same number of mangoes in each basket. what is the most number of mangoes that they can put in each basket?
how many baskets?
1: 144
2: 72
3: 48
. . .
48
To find the most number of mangoes that can be put in each basket, we need to find the greatest common divisor (GCD) of the given numbers: 48, 32, and 64. The GCD is the largest number that divides all the given numbers evenly.
Here's how you can find the GCD using the prime factorization method:
Step 1: Prime factorization of each number
- 48 = 2 * 2 * 2 * 2 * 3
- 32 = 2 * 2 * 2 * 2
- 64 = 2 * 2 * 2 * 2 * 2 * 2
Step 2: Identify the common prime factors
- All three numbers share four 2's as common prime factors.
Step 3: Calculate the GCD
- GCD = Multiply the common prime factors : 2 * 2 * 2 * 2 = 16
Therefore, the most number of mangoes that can be put in each basket is 16.