GCF
What is the GCF of 18 and 30?
6
What is the LCM of 4 and 6?
12
Mia has 24 red beads and 36 blue beads. She wants to make identical groups with no beads left over. What is the greatest number of groups she can make?
12 groups
Distribute 4 (6+3)
24 + 12 = 36
Rewrite as the distributive property using GCF.
12 + 18
6(2+3)
What is the GCF of 24 and 40?
8
What is the LCM of 8 and 12?
24
Two buses leave a school at the same time. One returns every 12 minutes, and the other every 18 minutes. After how many minutes will they return together?
36 minutes
Distribute 7 (10 +2)
70 + 14 = 84
Rewrite as the distributive property using GCF.
20 - 30
10(2-3)
What is the GCF of 36 and 54?
18
What is the LCM of 9 and 15?
45
Jake practices soccer every 4 days and basketball every 6 days. If he practices both today, in how many days will he practice both again?
12 days
Distribute 5 (8-3)
40 - 15 = 25
Rewrite as the distributive property using GCF.
24 + 36
12(2+3)
What is the GCF of 45 and 75?
15
What is the LCM of 10 and 25?
50
A farmer has 18 apples and 24 oranges. He wants to put them into identical baskets with no fruit left over. What is the greatest number of baskets he can make?
6 baskets
Distribute 9 (7+4)
63 + 36 = 99
Rewrite as the distributive property using GCF.
45 - 15
15(3-1)
What is the GCF of 24, 36, and 60?
12
What is the lCM of 6, 8, and 12?
24
A teacher has 30 pencils and 45 erasers. She wants to make identical groups with the same number of pencils and erasers in each group. How many items will be in each group?
2 pencils and 3 erasers (5 total items)
Distribute 6 (12 - 5)
72 - 30 = 42
Rewrite as the distributive property using GCF.
18+30+42
6(3+5+7)