Answer :
1. 24, 60
24 = {1, 2, 3, 4, 6, 8, 12, 24}
60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}
The GCF is 12.
2. 7, 9
7 = {1, 7}
9 = {1, 3, 9}
The GCF is 1.
3. 9, 12, 15
9 = {1, 3, 9}
12 = {1, 2, 3, 4, 6, 12}
15 = {1, 3, 5, 15}
The GCF is 3.
4. An example of this is #5. It can help you figure out what the greatest amount you can have is.
5. 14 boys and 21 girls.
14 + 21 = 35
Find the multiples of 35.
{ 1, 5, 7, 35 }
Obviously 35 can't be used, because there will be only 1 group. So the greatest number of groups would be 7, each containing 5 students.
24 = {1, 2, 3, 4, 6, 8, 12, 24}
60 = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}
The GCF is 12.
2. 7, 9
7 = {1, 7}
9 = {1, 3, 9}
The GCF is 1.
3. 9, 12, 15
9 = {1, 3, 9}
12 = {1, 2, 3, 4, 6, 12}
15 = {1, 3, 5, 15}
The GCF is 3.
4. An example of this is #5. It can help you figure out what the greatest amount you can have is.
5. 14 boys and 21 girls.
14 + 21 = 35
Find the multiples of 35.
{ 1, 5, 7, 35 }
Obviously 35 can't be used, because there will be only 1 group. So the greatest number of groups would be 7, each containing 5 students.