### Mathematics Class VI

Knowing Our Numbers
Whole Numbers
Playing With Numbers
Basic Geometrical Ideas
Fractions
Integers
Decimals
Data Handling
Mensuration
Algebra
Ratio and Proportion
Practical Geometry
Symmetry

# Common Factors And Common Multiples

Common Factors and Common Multiples

The factors which are common in the given number are termed as common factors.

For example:
Factors of 20 are 1, 2, 4, 5, 10 and 20.
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Clearly, the factors common to the factors of 20 and 48 are 1, 2, 4. These are called common factors of 20 and 48.

Co-prime numbers: If 1 is the only common factor of two number then the number is said to be co- prime number.

For example, 8 and 25 are co-prime numbers whereas 4 and 10 are not co-prime numbers. The multiples which are the multiples of each of the given numbers are called their common multiples.
For example:
Multiples of 2 are 2, 4, 6, 8, 10, 12,
Multiples of 3 are 3, 6, 9, 12, 15, 18,
Clearly, the multiples common to the multiples of 2 and 3 are 6, 12, These are called common multiples of 2 and 3.

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