Find the GCF of 45g+30h
To find the Greatest Common Factor (GCF) of 45g and 30h, we need to find the largest number or term that can divide both 45g and 30h without leaving a remainder.
First, let's break down the terms:
45g = 3 * 3 * 5 * g
30h = 2 * 3 * 5 * h
From here, we can identify the common factors between 45g and 30h, which are 3, 5, and g.
Therefore, the GCF of 45g and 30h is 3 * 5 * g, which can be written as 15g.
To find the Greatest Common Factor (GCF) of the terms 45g and 30h, we need to identify the largest common factor that both terms share.
Step 1: Identify the common factors of 45 and 30.
- Factors of 45: 1, 3, 5, 9, 15, 45
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Step 2: Identify the common factors of 45g and 30h.
The common factors are the common factors of 45 and 30 multiplied by the common factors of g and h.
The factors of g and h are generally unknown, so we cannot determine the common factors of g and h without further information.
Therefore, the GCF of 45g and 30h cannot be determined without more details.
To find the greatest common factor (GCF) of two or more terms, we need to first factor each term completely and then identify the common factors.
Let's start by factoring the given terms: 45g and 30h.
To factor 45g, we can break it down into the product of its prime factors. The prime factorization of 45 is 3 × 3 × 5, and since there is a "g" attached to it, the term becomes (3 × 3 × 5)g or 9g × 5g.
To factor 30h, we can do the same. The prime factorization of 30 is 2 × 3 × 5, and since there is an "h" attached to it, the term becomes (2 × 3 × 5)h or 2h × 3h.
Now that we have factored both terms, we can identify the common factors. In this case, both terms have a factor of 3 and a factor of 5. However, there are no common factors of "g" and "h" between the two terms.
Therefore, the GCF of 45g and 30h is 3 × 5, which is equal to 15.