288 cola cans and 360 fruit juice cans need to be stacked in a school canteen. If each stack is to be of the same height and has to contain cans of the same type, find the greatest number of cans each stack can have.
Answers
Answer:
thousand
Step-by-step explanation:
288+360=648 means total is 1000
The greatest number of cans each stack can have is 72
Solution:
Given that,
288 cola cans and 360 fruit juice cans need to be stacked in a school canteen
Each stack is to be of the same height and has to contain cans of the same type
To find: greatest number of cans each stack can have
Which means, we have to find the greatest common factor of 288 and 360
FIND GCF OF 288 AND 360
The factors of 288 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 360 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Then the greatest common factor is 72
Thus the greatest number of cans each stack can have is 72
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