GCF & LCM
What is the GCF of 16 and 24?
8
Two friends jog every 4 and 6 days. How many days until they jog together again?
12 days (LCM)
What is the prime factorization of 18 in expanded form?
2 × 3 × 3
Simplify: 5(x + 2)
5x + 10
Evaluate: 6 + 3 × 2
12
What is the LCM of 6 and 8?
24
Emma has 24 red balloons and 36 blue balloons. She wants to divide them into the largest number of equal groups with no leftovers. How many groups can she make? How many of each balloon in one group?
12 groups- 2 red balloons; 3 Blue balloons (GCF)
What is the Prime factorize 48 in Exponential form?
24 x 3
Which is equivalent to: 7x + 3x?
10x
Simplify: (4 + 5) × 3
27
Find the GCF and LCM of 12 and 18.
GCF: 6, LCM: 36
A bell rings every 9 minutes, another every 12 minutes. If both ring at 9:00 AM, when will they ring together again?
36 minutes later (9:36 AM) (LCM)
What number has the prime factorization of 23 x 32
72
Are these expressions equivalent: 3(2 + x) and 6 + 3x?
Yes
What is: 8 + 2 × (6 − 2)
16
What’s the GCF of 32 and 48?
16
A bakery packs muffins in boxes of 18 and cookies in boxes of 24. What’s the greatest number of identical gift boxes they can make using all muffins and cookies? How many in each box?
6 boxes- 3 muffins; 4 cookies(GCF)
Use prime factorization to find the GCF of 36 and 60.
2 × 3 = 6
Which of the following are equivalent to 2(3x − 1)?
A) 6x − 2
B) 6x + 2
C) 6(x-1/3)
A and C
Evaluate: (10 − 4)² ÷ 2
18
What is the LCM of 15, 20, and 30?
60
A farmer plants tomatoes every 20 days and cucumbers every 30 days. Today she plants both. In how many days will she plant both again on the same day?
60 days (LCM)
What is the LCM of 60 and 72 using prime factorization?
360
Factor the expression: 8x + 12
4(2x + 3)
OR
2(4x+6)
Solve: 3 + [2 × (4 + 3)]² ÷ 7
3 + [2 × 3]² ÷ 9
= 3 + 6² ÷ 9
= 3 + 36 ÷ 9
= 3 + 4
= 7