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Question
12 oranges, 16 apples, and 32 pears are equally packed in cartons so that no fruit is left. What is the largest possible number of cartons needed?
12 oranges, 16 apples, and 32 pears are equally packed in cartons so that no fruit is left. What is the largest possible number of cartons needed?
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Solution
The correct option is C 4
To determine the largest possible number of cartons needed, we have to find the greatest common factor of 12, 16, and 32 using ladder method.
So, let us write all 3 numbers on the horizontal line and divide these numbers using a prime number which exactly divides all the three numbers.
Write quotients in the next line.
Repeat the process until all the numbers are divisible by a prime number.
Now, to obtain the GCF, we multiply all the divisors.
So, GCF of 12, 16, 32 = 4
∴ At most 4 cartons are required to pack the fruits equally such that no fruit is left behind.
To determine the largest possible number of cartons needed, we have to find the greatest common factor of 12, 16, and 32 using ladder method.
So, let us write all 3 numbers on the horizontal line and divide these numbers using a prime number which exactly divides all the three numbers.
Write quotients in the next line.
Repeat the process until all the numbers are divisible by a prime number.
Now, to obtain the GCF, we multiply all the divisors.
So, GCF of 12, 16, 32 = 4
∴ At most 4 cartons are required to pack the fruits equally such that no fruit is left behind.
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