Find the GCF of 45g+30h.
its not 15g
To find the greatest common factor (GCF) of 45g + 30h, we need to find the largest number or variable that divides evenly into both terms.
Let's factor out the common factors of the coefficients separately from the variables:
For the coefficients:
45 = 5 * 9
30 = 5 * 6
Therefore, the GCF of the coefficients is 5.
Now, looking at the variables:
g + h
Since there are no common factors within the variables, the GCF of the variables is 1.
Finally, we multiply the GCF of the coefficients by the GCF of the variables:
GCF = 5 * 1 = 5
So, the GCF of 45g + 30h is 5.
Find the GCF of 45g+30h.
To find the greatest common factor (GCF) of 45g + 30h, we need to find the largest common factor that divides evenly into both terms.
The first step is to look for common factors between 45g and 30h.
For the coefficients:
45g = 3 * 3 * 5 * g
30h = 2 * 3 * 5 * h
Looking at the coefficients, we see that the common factors are 3 and 5.
Now let's consider the variables g and h. Since they are different variables, there are no common factors.
So, the only common factors of 45g and 30h are 3 and 5.
Hence, the GCF of 45g + 30h is 3 * 5 = 15.
To find the greatest common factor (GCF) of the terms 45g and 30h, we need to first factorize each term completely.
Let's start with 45g:
The factors of 45 are 1, 3, 5, 9, 15, and 45.
The factors of g are just g itself.
Now let's factorize 30h:
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of h are just h itself.
To find the common factors of 45g and 30h, we need to find the factors that appear in both lists. The common factors are 1, 3, 5, and 15.
Therefore, the GCF of 45g and 30h is 15.