HCF of monomials
Key Notes :
To find the highest common factor (HCF) of two or more monomials, find the prime factorization of each monomial, identify the common factors, and multiply them together.
Learn with an example
Find the highest common factor.
3c2, 3
Write your answer as a constant times a product of single variables raised to exponents.____________
Factorise each monomial and find the common factors.
3c2=3 . c . c
3=3
The only common factor is 3. So, the highest common factor is 3.
Find the highest common factor.
3b2, 3b3
Write your answer as a constant times a product of single variables raised to exponents.____________
First, factorise each monomial and find the common factors.
3b2=3 . b . b
3b3=3 . b . b . b
The common factors are 3, b and b. Multiply them to find the highest common factor.
3 . b . b=3b2
The highest common factor is 3b2.
Find the highest common factor.
2c, 6c3
Write your answer as a constant times a product of single variables raised to exponents.____________
First, factorise each monomial and find the common factors.
2c=2 . c
6c3=2 . 3 . c . c . c
The common factors are 2 and c. Multiply them to find the highest common factor.
2 . c=2c
The highest common factor is 2c.
Let’s practice!
