Find the GFC of 45g+30h

Answer 1

To find the greatest common factor (GCF) of 45g+30h, we need to determine the largest term that divides both 45g and 30h.

Step 1: Factor out the greatest common factor from both terms:

45g = 5 * 9 * g
30h = 2 * 3 * 5 * h

Step 2: Determine the common factors:

The common factors are 5 and g.

Step 3: Multiply the common factors:

GCF = 5 * g

Therefore, the GCF of 45g+30h is 5g.