gcf of 45g+30h
To find the greatest common factor (GCF) of 45g and 30h, we need to factorize both terms.
45g can be written as 5 * 9 * g.
30h can be written as 2 * 3 * 5 * h.
Now, look for the common factors in both terms: 5 and 3.
Hence, the GCF of 45g and 30h is 5 * 3 = 15.
To find the greatest common factor (GCF) of 45g and 30h, we need to find the largest number or variable that can divide both terms evenly.
Step 1: Break down 45g and 30h into their prime factors.
The prime factorization of 45 can be found by dividing it by the smallest prime numbers, starting with 2:
45 ÷ 3 = 15
15 ÷ 3 = 5
The prime factorization of 30 can be found in a similar way:
30 ÷ 2 = 15
15 ÷ 3 = 5
So, 45g can be expressed as 3 * 3 * 5 * g, and 30h can be expressed as 2 * 3 * 5 * h.
Step 2: Identify the common factors.
To find the GCF, identify the common prime factors of the two expressions:
Common prime factors: 3, 5
Since the variable "g" is only present in 45g and not in 30h, it is not a common factor.
Step 3: Determine the GCF.
The GCF is the product of the common prime factors:
GCF = 3 * 5 = 15
Therefore, the GCF of 45g and 30h is 15.
To find the greatest common factor (GCF) of the terms 45g and 30h, we need to break down the terms into their prime factors and identify the common factors.
Step 1: Prime factorization of 45g
45 can be broken down into its factors: 3 * 3 * 5.
Similarly, g has only one factor, which is g itself.
So, 45g can be written as 3 * 3 * 5 * g.
Step 2: Prime factorization of 30h
30 can be broken down into its factors: 2 * 3 * 5.
Similarly, h has only one factor, which is h itself.
So, 30h can be written as 2 * 3 * 5 * h.
Step 3: Identify the common factors
To find the GCF, we need to identify the common factors between the two terms.
The common factors are 3, 5.
Step 4: Calculate the GCF
The GCF is the product of the common factors.
GCF of 45g and 30h is 3 * 5.
GCF = 15