Name: _____________________________________________________________ Block: _________________
I Can 4 Homework
GCF and LCM
Greatest Common Factor (GCF)
Factors of 12 and 6
You can evenly divide 12 by 1, 2, 3, 4, 6 and 12.
You can evenly divide 6 by 1, 2, 3 and 6.
Now look at both sets of numbers. What is the largest factor of both numbers?
6 is the largest or greatest factor for 12 and 6.
Directions: Find GCF for the following sets of numbers.
1) 20 and 8
2) 12 and 42
3) 30 and 65
4) 5 and 24
5. Mandy is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 16
cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the
greatest number of kits Mandy can make?
Least Common Multiple (LCM)
Multiples of 3 and 4
Multiples of 3: 3, 6, 9, 12, 15, 18
Multiples of 4: 4, 8, 12, 16, 20, 24
12 is the lowest of the common multiples for 3 and 4
Directions: Find LCM for the following sets of numbers.
6) 4 and 9
7) 6 and 7
8) 8 and 12
9) 3 and 10
10) Sarah’s Shipping and Ryan’s Mail Services both ship packages. Sarah’s trucks will only carry loads of 18
packages. In contrast, Ryan’s trucks will only carry loads of 11 packages. If both businesses ended up shipping
the same number of packages this morning, what is the minimum number of packages each must have
shipped?