Two hundred

Two hundred ten athletes competed in three athletics races on three fields. One hundred five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Although competing in any discipline, each group had the same number of members. The groups created were as large as possible. How many athletes competed in the group?

Correct answer:

x =  15

Step-by-step explanation:

a=105 b=60 c=210ab=21010560=45  105=357 60=2235 45=325 GCD(105,60,45)=35=15  x=GCD(a,b,c)=GCD(105,60,45)=15

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you want to calculate the least common multiple of two or more numbers?
Do you want to calculate the greatest common divisor of two or more numbers?
Do you want to perform natural numbers division - find the quotient and remainder?

Related math problems and questions: