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GCF and LCM Using Venn Diagrams
1. Work out the prime factorization of each number.
2. Arrange the numbers in the Venn diagram
3. Write down the GCF and the LCM of each pair of numbers.
EXAMPLE:
Find the GCF and the LCM of 24 and 60.
1. Prime Factorization
24
60
2. Venn Diagram
REMEMBER:
GCF is the numbers in the intersection multiplied together
LCM is all the numbers in both circles multiplied together
Questions to Complete Using the Venn Diagram Worksheet
1. Find the GCF and LCM of 10 and 15
Prime Factorization of 10
Prime Factorization of 15
GCF
LCM
2. Find the GCF and LCM of 12 and 28
Prime Factorization of 12
Prime Factorization of 28
GCF
LCM
3. Find the GCF and LCM of 28 and 42
Prime Factorization of 28
Prime Factorization of 42
GCF
LCM
4. Find the GCF and LCM of 48 and 64
Prime Factorization of 48
Prime Factorization of 64
GCF
LCM
5. Find the GCF and LCM of 15 and 25
Prime Factorization of 15
Prime Factorization of 25
GCF
LCM
6. Find the GCF and LCM of 12 and 32
Prime Factorization of 12
Prime Factorization of 32
GCF
LCM
7. Find the GCF and LCM of 42 and 63
Prime Factorization of 42
Prime Factorization of 63
GCF
LCM
8. Find the GCF and LCM of 18 and 24
Prime Factorization of 18
Prime Factorization of 24
GCF
LCM
9. Find the GCF and LCM of 24 and 56
Prime Factorization of 24
Prime Factorization of 56
GCF
LCM
10. Find the GCF and LCM of 42 and 27
Prime Factorization of 42
Prime Factorization of 27
GCF
LCM
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