Find the GCF of each set of numbers. 14,56,63
14 = 2*7
56 = 8*7
63 = 9*7
so what do you think?
To find the Greatest Common Factor (GCF) of a set of numbers, follow these steps:
Step 1: List the prime factors of each number.
The prime factors of 14 are 2 and 7.
The prime factors of 56 are 2, 2, 2, and 7.
The prime factors of 63 are 3, 3, and 7.
Step 2: Identify the common prime factors.
The common prime factor in all three numbers is 7.
Step 3: Calculate the GCF.
Multiply the common prime factors: 7.
So, the GCF of 14, 56, and 63 is 7.
To find the greatest common factor (GCF) of a set of numbers, we need to determine the largest number that divides evenly into all the given numbers.
Let's find the GCF of the numbers 14, 56, and 63.
First, we can find the prime factorization of each number:
14: Prime factors = 2 × 7
56: Prime factors = 2 × 2 × 2 × 7
63: Prime factors = 3 × 3 × 7
Next, we compare the prime factorizations of the numbers and find the common factors. The GCF is obtained by multiplying the common factors together.
Looking at the prime factorizations, we see that the only common factor is 7.
Therefore, the GCF of 14, 56, and 63 is 7.