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Question
Mason has 12 peaches and 18 apples. If he wants to make fruit baskets such that each basket has only one kind of fruit, what is the greatest number of fruits each basket can have?
Mason has 12 peaches and 18 apples. If he wants to make fruit baskets such that each basket has only one kind of fruit, what is the greatest number of fruits each basket can have?
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Solution
The correct option is B 6
To solve this problem, first we have to break down the numbers into prime factors.
The prime factorization of 12 is:
2 × 2 × 3
The prime factorization of 18 is:
2 × 3 × 3
The common divisors are 2, 3, and 2 × 3.
Thus, the greatest common divisor is: 2 × 3 = 6
Hence, there can be a maximum of 6 fruits in each basket.
To solve this problem, first we have to break down the numbers into prime factors.
The prime factorization of 12 is:
2 × 2 × 3
The prime factorization of 18 is:
2 × 3 × 3
The common divisors are 2, 3, and 2 × 3.
Thus, the greatest common divisor is: 2 × 3 = 6
Hence, there can be a maximum of 6 fruits in each basket.
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