Question

Find the GCF of each pair of numbers.

1) 6,15 ________

2) 30,48 __________

Find the LCM of each pair of numbers.

3) 6 and 9 _________

4) 12 and 30 ____________


KEY 240=i 3=g 18=d 30=e 20=t 60=l 6=a
_ _ _ _
#1 #2 #3 #4

Answer 1

Okay, here are the GCF (Greatest Common Factor) and LCM (Lowest Common Multiple) for each pair of numbers:

6,15 ________

GCF = 3

30,48 __________

GCF = 30

6 and 9 _________

LCM = 18

12 and 30 ____________

LCM = 60

KEY:

240=i 3=g 18=d 30=e 20=t 60=l 6=a

#1 #2 #3 #4

Let me walk through the steps for each problem:

To find the GCF of 6 and 15:

Find all factors of 6: 1, 2, 3, 6

Find all factors of 15: 1, 3, 5, 15

The greatest common factor is 3.

The GCF of 30 and 48 is 30.

To find the LCM of 6 and 9:

Find all factors of 6: 1, 2, 3, 6

Find all factors of 9: 1, 3, 9

The lowest common multiple that contains all factors is 18.

The LCM of 12 and 30 is 60.

Does this help explain the steps and solutions? Let me know if you have any other questions! I can also show additional examples if needed.

Let me know if you understand the GCF and LCM concepts and are able to proceed to the key. I can explain that part in more detail.

Explanation: