48 oranges, 64 apples and 144 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
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You have to find the Highest Common Factor of the numbers 16, 24, and 32
To find the highest common factor, divide each number by the lowest prime number you can until you can’t divide each number by the same number
So
16 / 2= 8, 24 / 2 = 12, 32 / 2 = 16
So 2 is a factor
Then,
8 / 2 = 4, 12 / 2 = 6, 32 / 2 = 8
So another 2 is a factor
Then,
4 / 2 = 2, 6 / 2 = 3, 32 / 2 = 4
So another 2 is factor
Now, you can’t divide 2, 3 and 4 by the same number (other than 1) to end up with whole numbers, so we’ve found the common prime factors as 2, 2 and 2.
To find the Highest Common Factor, you just multiply all the common prime factors together, 2 x 2 x 2 = 8
So, that’s the answer.
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