What is the most common factor of 12 and 18?

What is the most common factor of 12 and 18? To find the most common factor, we need to look for the numbers that can evenly divide both 12 and 18. In other words, we are searching for the greatest number that is a divisor of both 12 and 18.

First, let's find the factors of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. Now, let's find the factors of 18. The factors of 18 are 1, 2, 3, 6, 9, and 18.

From the lists of factors, we can see that the common factors of 12 and 18 are 1, 2, 3, and 6.

Out of these common factors, the greatest common factor is 6, as it is the largest number that can divide both 12 and 18 without leaving a remainder.

What is the common multiple of 12 and 18?

The common multiple of two numbers is the smallest number that is divisible by both numbers without leaving a remainder. To find the common multiple of 12 and 18, we can list the multiples of each number and find the smallest number that appears in both lists.

The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

The multiples of 18 are: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180

From the lists above, we can see that 36 is the smallest number that is divisible by both 12 and 18. Therefore, the common multiple of 12 and 18 is 36.

Knowing the common multiple of two numbers is useful in various mathematical applications, such as finding a common denominator when adding or subtracting fractions. It allows us to simplify calculations and find the most efficient solution to a problem.

What is the highest common factor of 12?

What is the highest common factor of 12?

When we want to find the highest common factor of a number, we look for the largest divisor or factor that the number has in common with another number.

For the number 12, the highest common factor refers to the largest number that can be evenly divided into both 12 and another given number.

To find the highest common factor of 12, we need to consider the divisors of 12 and compare them with the divisors of the other number.

12 can be evenly divided by the numbers 1, 2, 3, 4, 6, and 12. Now we need to find the number that has the highest common factor with 12.

The highest common factor of 12 is determined by looking for the largest divisor of 12 that is also a divisor of the other number. For example, if we are comparing 12 with 24, the highest common factor would be 12 because it is the largest divisor that both numbers have in common.

So, to find the highest common factor of 12, we need to know which number we are comparing it to. Without that information, it is not possible to determine the highest common factor.

Therefore, when asked for the highest common factor of 12, we need to consider the context in which the question is asked, as the highest common factor can vary depending on the other number being compared.

What is the highest common factor of 18?

When we talk about the highest common factor of a number, we are referring to the largest number that divides both 18 and another given number without leaving a remainder.

So, in order to find the highest common factor of 18, we need to consider all the numbers that can divide both 18 and the given number without any remainder.

For 18, the factors are 1, 2, 3, 6, 9, and 18. Now, we need to compare these factors with the factors of the other number to find the highest common factor.

Let's suppose the other number is 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

By comparing the factors of 18 and 36, we can see that the highest common factor is 18. This means that 18 is the largest number that can divide both 18 and 36 without leaving a remainder.

In conclusion, the highest common factor of 18 is 18 itself. It is important to find the highest common factor in order to simplify fractions or solve mathematical problems involving multiple numbers.

What is the greatest common factor of 12 and 8?

The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 12 and 8, we need to list all the factors of both numbers and identify the largest number they have in common.

First, let's list all the factors of 12. Factors are the numbers that divide a given number evenly without leaving a remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12.

Next, let's list all the factors of 8. The factors of 8 are 1, 2, 4, and 8.

Now, we can identify the greatest common factor by comparing the factors of both numbers. In this case, the largest number that both 12 and 8 have in common is 4.

Therefore, the greatest common factor of 12 and 8 is 4.

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