The document explains methods to find the greatest common factor (GCF) and least common multiple (LCM) using the continuous division method with examples. For GCF, it demonstrates finding common factors and stopping when no more common factors exist, yielding GCF results for sets of numbers like 28 and 36, and 6, 12, and 18. It also describes finding LCM by dividing until no common factors remain and multiplying the divisor and quotients, illustrated with examples such as 8 and 12, and provides practice questions.

2. METHODS IN FINDING GCF

3. Using the Continuous Division
Method
Find the common factors and the GCF of 28 and 36.
Divide 28 and 36 by the smallest common
factor which is 2.
Divide again the quotient 14 and 18 by
the smallest common factor which is 2.
Stop dividing when there is no more
common factor to divide the remaining
quotient.
The product of 2 and 2 which are the
common factor of 28 and 36 is 4.
2
2
Solution:
Answer:
7
GCF = 2 x 2 = 4
28 36
18
14
9

4. Using the Continuous Division
Method
Find the common factors and the GCF of 6, 12 and 18.
Divide 6, 12 and 18 by the smallest
common factor which is 2.
Divide again the quotient 3, 6 and 9 by
the smallest common factor which is 3.
Stop dividing when there is no more
common factor to divide the remaining
quotient.
The product of 2 and 3 which are the
common factor of 28 and 36 is 6.
2
3
Solution:
Answer:
GCF = 2 x 3 = 6
2
6 12 18
3 9
6
1
3

5. Let’s Practice:
Use continuous division
to find the GCF of the
given set of numbers.

6. 16 and 20
4

7. 6 and 18
6

8. 48, 84, 132
12

9. METHODS IN FINDING LCM

10. Using the Continuous Division
Method
Find the common multiples and the LCM of 8 and 12.
Divide 8 and 12 by the smallest common
factor which is 2.
Divide again the quotient 4 and 6 by the
smallest common factor which is 2.
Stop dividing when there is no more
common factor to divide the remaining
quotient.
Multiply the divisor and the quotients,
thus 2 x 2 x 2 x 3 = 24
8 12
2
Solution:
Answer:
LCM = 2 x 2 x 2 x 3 = 24
2
6
4
3
2
Answer:

11. Using the Continuous Division
Method
Find the common multiples and the LCM of 3, 9 and 12.
Divide 3, 9 and 12 by the smallest
common factor which is 3.
Stop dividing when there is no more
common factor to divide the remaining
quotient.
Multiply the divisor and the quotients,
thus 3 x 1 x 3 x 4 = 36
3
Solution:
Answer:
LCM = 3 x 1 x 3 x 4 = 36
3 9 12
4
1 3

12. Let’s Practice:
Use continuous division to find
the LCM of the given set of
numbers.
Choose the letter of the correct answer.

13. LCM of 10 and
15.
a.15
b.20
c. 30
d. 60

14. LCM of 4 and
9.
a.9
b.18
c. 2
d. 36

15. LCM of 6 and
9.
a.9
b.18
c. 36
d. 54

16. LCM of 8 and
24.
a.24
b.48
c. 72
d. 96