Find the GCF of these numbers.
54, 90, 126
Type the correct answer.
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Question 5 (2 points)
The GCF of 54, 90, and 126 is 18.
To find the greatest common factor (GCF) of the numbers 54, 90, and 126, we can start by listing the factors of each number.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
By comparing the factors, we can see that the largest number that is common to all three lists is 18.
Therefore, the greatest common factor (GCF) of 54, 90, and 126 is 18.
To find the Greatest Common Factor (GCF) of a set of numbers, you need to find the largest number that divides evenly into each of them.
One approach to finding the GCF is to list the prime factors of each number.
Let's find the prime factorization of each number:
- 54: The prime factors of 54 are 2, 3, and 3 (54 = 2 * 3 * 3).
- 90: The prime factors of 90 are 2, 3, 3, and 5 (90 = 2 * 3 * 3 * 5).
- 126: The prime factors of 126 are 2, 3, 3, and 7 (126 = 2 * 3 * 3 * 7).
Now, we can determine the GCF by finding the highest power of common prime factors among the numbers. In this case, the highest power of 2 is 1, the highest power of 3 is 2, and there are no common factors of 7 or 5.
Therefore, the GCF of 54, 90, and 126 is 2 * 3 * 3, which equals 18.
The correct answer is 18.