The maximum number of students between whom 735 red balls, 441 blue balls and 294 cricket bats can be distributed equally are?
Answers
Answer:
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Step-by-step explanation:
To do this question, we need to look at something called Greatest Common Factor. The maximum number of students has to be divisible by 735, 441, and 294. (For example, it can’t be 2, as 735 and 441 aren’t divisible by 2.) To find the greatest common factor, first find the prime factorizations of each (factors are things that a number is divisible by. 4 has 1, 2, and 4 as factors. Prime factors are factors that are prime numbers. 4 only has one prime factor: 2, and its prime factorization is 2,2.)
735: 3 x 5 x 7 x 7
441: 3 x 3 x 7 x 7
294: 2 x 3 x 7 x 7
To find the gcf, multiply all of the numbers they have in common. All have a 3, and two 7’s, so the gcf is 3*7*7 or 147. So, 147 students can split them, with each student receiving 5 red balls, 3 blue balls and 2 cricket bats