Math Worksheet - 7th Grade Page 4
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11Factors and Multiples:
The greatest common factor (GCF) of two or more numbers is the greatest of the common factors of
the numbers. The smallest number that is a multiple of two or more whole numbers is the least
common multiple (LCM) of the numbers.
Examples:
Find the GCF of 12 and 30.
Find the LCM of 6 and 15.
List the factors for each number.
List the multiples of each number.
Factors of 12: 1, 2, 3, 4, 6, 12
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
Multiples of 15: 15, 30, 45, 60,
The common factors are 1, 2, 3, and 6.
Notice that 30 and 60 are common multiples.
The greatest is 6.
So, the GCF of 12 and 30 is 6.
The least common multiple of 6 and 15 is 30.
PRACTICE
Find the GCF of each set of numbers.
1. 6, 12
1. ______________
2. 28, 42
2. ______________
3. 44, 55
3. ______________
4. 35, 20, 15
4. ______________
Find the LCM of each set of numbers.
5. 5, 6
5. ______________
6. 6, 8
6. ______________
7. 4, 10
7. ______________
8. 15, 12
8. ______________
9. ANALYZE TABLES A store is organizing toys
Toys to Place in Bins
into bins. The toys must be put into bins so that
Toy
Number of Toys
each bin contains the same number of toys
without mixing the toys.
Anemones
12
Limpets
14
What is the greatest number of toys
a.
that can be put in a bin?
Snails
18
_____________________________________
How many bins are needed for each type of toy?
b.
_____________________________________
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