Pre-Algebra Examples

$m^{2} - 5 m - 14$ , $m^{2} - 25$ , $m^{2} - 10 m + 25$

Step 1

Add $m^{2}$ and $m^{2}$ .

$2 m^{2} - 5 m - 14 - 25 + m^{2} - 10 m + 25$

Step 2

Add $2 m^{2}$ and $m^{2}$ .

$3 m^{2} - 5 m - 14 - 25 - 10 m + 25$

Step 3

Subtract $10 m$ from $- 5 m$ .

$3 m^{2} - 15 m - 14 - 25 + 25$

Step 4

Subtract $25$ from $- 14$ .

$3 m^{2} - 15 m - 39 + 25$

Step 5

Add $- 39$ and $25$ .

$3 m^{2} - 15 m - 14$

Step 6

Since there are no common prime factors, the GCF is $1$ .

$1$