There are 72 boys and 90 girls on a math team. for the next competition, Mr. Johnson would like to arrange all students in equal rows with only girls and boys in each row. What is the greatest number of students that can be in each row?

the students can be arranged in rows of 18, that is 4 rows of boys and 5 rows of girls.

Step-by-step explanation

Method 2 (Euclid division)

step 1: divide the larger number by the small number, reject the quotient

step 2: if the remainder is 0, the smaller number is the GCF

if the remainder is greater than zero, replace the larger number by the remainder (which becomes the smaller number), repeat step 1.

We will use the folowing symbols

L=larger number

S=smaller number

R=remaindern:

x = 3 ± √(5+y)

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870