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Find the GCF of forty five G plus thirty h

1 answer

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 \(15\).