there are 6 cellos, 12 violas, and 21 violins playing in an orchestra concert. Mr. Johnson wants them to sit in rows and he wants each section to have the same number of rows . What is the maximum number of rows the orchestra would have?

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America2438 America2438 · Answer 1 · 2019-09-20T03:58:23+02:00

Answer:

3

Step-by-step explanation:

6/3= 2 chellos / row

12/3= 4 violas / row

21/3= 7 violins/row

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Anshuyadav Anshuyadav · Answer 2 · 2022-06-23T14:36:14+02:00

The maximum number of rows the orchestra would have is 3.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

According to the given question.

Numbers of people who are playing cellos = 6

Number of people who are playing violas = 12

Number of people who are playing violins = 21

So, the prime factorization of 6, 12, and 21 is given by

6 = 2 × 3

12 = 2 × 2 × 3

21 = 3 × 7

The only common factor of 6, 12 and 21 is 3.

⇒ The greatest common factor of 6, 7, and 21 is 3.

Hence, the maximum number of rows the orchestra would have is 3.

Find out more information about greatest common factor here:

https://brainly.com/question/282609

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