can someone explain to me how to find the gcf of 6,18,and 30

does 6 divide evenly into them all? What does GCF mean?

Finding the greatest common factor (GCF) involves determining the largest number that divides evenly into a given set of numbers. To find the GCF of 6, 18, and 30, you can follow these steps:

1. Begin by identifying the factors of each number. Factors are the numbers that can be multiplied together to obtain a given number. The factors of 6 are 1, 2, 3, and 6. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

2. Now, check if 6 divides evenly into all three numbers. If a number divides evenly, it means that the remainder is 0 when you divide it. In this case, 6 divides evenly into 6 itself (remainder 0), but not into 18 (remainder 6) or 30 (remainder 0).

3. Identify the other numbers that are common factors among these three numbers. In this case, we see that 2 and 3 are common factors.

4. Consider the next smallest common factor, which is 2. Check if 2 divides evenly into all three numbers. It divides evenly into 6 (remainder 0), 18 (remainder 0), and 30 (remainder 0).

5. Next, check if 3 divides evenly into all three numbers. Clearly, it divides evenly into 6 (remainder 0) and 18 (remainder 0), but not into 30 (remainder 0).

6. Since these are the only common factors, the GCF of 6, 18, and 30 is the product of the common factors 2 and 3, which is 2 Γ— 3 = 6.

Now, to answer your second question, GCF stands for "greatest common factor." It represents the largest number that divides evenly into a given set of numbers. In this case, the GCF of 6, 18, and 30 is 6, which means that 6 is the largest number that can evenly divide all three given numbers.