Question

Find the GCF of forty five G plus thirty h

Answer 1

To find the greatest common factor (GCF) of the expression \(45G + 30h\), we need to factor each term.

1. **Factor the coefficients:**
- The coefficients are 45 and 30.
- The factors of 45 are: \(1, 3, 5, 9, 15, 45\)
- The factors of 30 are: \(1, 2, 3, 5, 6, 10, 15, 30\)
- The common factors are \(1, 3, 5, 15\).
- The greatest common factor of the coefficients is \(15\).

2. **Check for common variables:**
- The first term is \(45G\) (with variable \(G\)) and the second term is \(30h\) (with variable \(h\)).
- Since there are no common variables in this expression, we consider only the numerical GCF.

3. **Combine results:**
- The GCF of \(45G + 30h\) is \(15\).

Therefore, the GCF of \(45G + 30h\) is \(15\).