294 blue balls, 252 pink balls and 210 yellow balls are distributed equally among students, such that -
Each student is given the same number of balls of each of the colours.
No balls were left-over.
What is the biggest possible number of students?
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Answer:
We have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, we need to factor each number and calculate the product of the common factors raised to the lowest exponent.
294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7
Greatest common factor = 2*3*7 = 42
The biggest possible number of students to distribuute the balls equally is 42
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the biggest possible number of ball given to students is 42
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