Factor each number.
I get the largest number as 21.
On children's day, a teacher brought 63 erasers and 147 sweets to distribute out completely to her class. Each student receives the same number of erasers as each other, and the same number of sweets as each other. What is the most number of students in the class?
Details and assumptions
The erasers and sweets may not be split apart. Each student receives a whole number of erasers and sweets. For example, there cannot be 2 students in the class, who would receive 32.5 erasers each.
2 answers
63 = 3*3*7
147 = 3*7*7
So, to divide the erasers evenly, the number of students must be
3,7,9,21
Similarly the divisors of 147 are
3,7,21,49
So, it looks like 21 is the maximum number that divides both 63 and 147.
Note that GCD(63,147) = 21
147 = 3*7*7
So, to divide the erasers evenly, the number of students must be
3,7,9,21
Similarly the divisors of 147 are
3,7,21,49
So, it looks like 21 is the maximum number that divides both 63 and 147.
Note that GCD(63,147) = 21