73×2-3×4+50

Since 73×2,-3×4,50 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for 73×2,-3×4,50:

1. Find the GCF for the numerical part 73,-3,50

2. Find the GCF for the variable part x2,x4

3. Multiply the values together

Find the common factors for the numerical part:

73,-3,50

The factors for 73 are all numbers between 1 and 73, which divide 73 evenly.

Check numbers between 1 and 73

Find the factor pairs of 73 where x⋅y=73.

xy173

List the factors for 73.

1,73

1,73

The factors for -3 are all numbers between 1 and 3, which divide -3 evenly.

Check numbers between 1 and 3

Find the factor pairs of -3 where x⋅y=-3.

List the factors for -3.

-3,-1,1,3

-3,-1,1,3

The factors for 50 are all numbers between 1 and 50, which divide 50 evenly.

Check numbers between 1 and 50

Find the factor pairs of 50 where x⋅y=50.

xy150225510

List the factors for 50.

1,2,5,10,25,50

1,2,5,10,25,50

List all the factors for 73,-3,50 to find the common factors.

73: 1,73

-3: -3,-1,1,3

50: 1,2,5,10,25,50

The common factors for 73,-3,50 are 1.

1

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1 is 1.

1

Find the GCF 73x^2-3x^4+50