Question

Find the GCF for each pair of monomials. 1. 14n2, 35n4 2. 21n3, 18n2 3. 7n2, 9

Answer 1

`(1)7n^2\\(2)3n^2\\(3) 1`

Explanation:

(1)
`14n^2, 35n^4`

`14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2`

(2)
`21n^3, 18n^2`

`21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2`

(3)
`7n^2, 9`

The two terms are co-prime. Therefore their GCF is 1.