Question

Determine the GCF of 56f3 g2 and 70fg3 ?

a)7fg2
b)7f3 g3
c)14fg2
d)14f3 g3

Answer 1

GCF of 56 and 70 = 14
GCF of f and f3 = f
GCF of g2 and g3 is g2

Answer is 14fg2 Option c

Answer 2

Assuming the expression reads:


`\text{GCF of } 56f^3g^2, 70fg^3`

Isolate each term within each expression:


`56f^3g^2 = 56 * f^3 * g^2`

`70fg^3 = 70 * f * g^3`

Find the GCF for each like term:


`\text{GCF of }56, 70 = 14`

`\text{GCF of }f^3, f = f`

`\text{GCF of } g^2, g^3 = g^2`

Combine the GCF terms together. The following expression will be your answer:


`\boxed{14fg^2}`