144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a canteen. If each stack is of the same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?
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Answer:
The number of cartons required is 18.
Step-by-step explanation:
To find the number of cartons required, find the Highest common factor of 144 and 90,
The multiples of 144 = 2 x 2 x 2 x 2 x 3 x 3
The multiples of 90 = 3 x 3 x 5 x 2
To find the HCF of 144 and 90 = common multiples of 90 and 144 = 3 * 3 * 2 = 18.
Number of cartons required becomes = 18.
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