1. 210 green, 252 red and 294 orange balls are equally distributed among some students so that no ball is left. What is the biggest possible number of students who got the balls?
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Answer:
42
Step-by-step explanation:
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, you 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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