What is the gcf of 13 and 39

On this page we will define the GCF of 13 and 39, teach you the different ways of calculating the GCF of 13 and 39, and show you what you can use the GCF of 13 and 39 for.

What is the GCF of 13 and 39?
GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 13 and 39 is the same as the Greatest Common Factor of 13 and 39. The GCF of 13 and 39 is the largest positive integer by which both 13 and 39 can be divided. Furthermore, both 13 and 39 have a set of factors and the GCF is the greatest factor that 13 and 39 have in common.

Compare factors to get GCF of 13 and 39
Per definition above, to find the GCF of 13 and 39, you can compare the factors of 13 with the factors of 39 to see which factor is the greatest. When we did that, we found that the Greatest Common Factor (GCF) of 13 and 39 is 13.

Use LCM to get GCF of 13 and 39
The Least Common Multiple (LCM) of 13 and 39 is 39. You can find the GCF of 13 and 39 by dividing the product of 13 and 39 by the LCM of 13 and 39. Here is the formula and math:

Use computer spreadsheet to get GCF of 13 and 39
If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 13 and 39. You want to type =gcf(13, 39) into a cell to get the answer.

gcf(13, 39) = 13

Use the GCF of 13 and 39 to simplify a fraction
The GCF of 13 and 39 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator by the GCF like this:

Use GCF of 13 and 39 to simplify a ratio
Similarly, you can use the GCF of 13 and 39 to simplify a ratio by dividing each part of the ratio by the GCF like this:

= 13 : 39
= (13 ÷ 13) : (39 ÷ 13)
= 1 : 3

Use the GCF of 13 and 39 to find the LCM of 13 and 39
Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 13 and 39, you can use the GCF of 13 and 39 to find the LCM of 13 and 39. The LCM of 13 and 39 can, for example, be used to add and subtract fractions with denominators of 13 and 39. The LCM of 13 and 39 is the product of 13 and 39 divided by the GCF of 13 and 39. Here is the math:

That is all there is to it! We hope this page accomplished its goal of defining the GCF of 13 and 39 by showing you how to calculate the GCF, examples of its uses, and how it relates to LCM.

GCF Calculator
Use the GCF Calculator to solve a problem similar to the one explained on this page.

GCF of 13 and 40
Here is the next GCF on our list that we have calculated and explained for you.

Copyright  |   Privacy Policy  |   Disclaimer  |   Contact

The question "What is the LCM and GCF of 13 and 39?" can be split into two questions: "What is the LCM of 13 and 39?" and "What is the GCF of 13 and 39?"

In the question "What is the LCM and GCF of 13 and 39?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.

To find the LCM, we first list the multiples of 13 and 39 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 13 and 39:

Multiples of 13: 13, 26, 39, 52, 65, 78, etc.

Multiples of 39: 39, 78, 117, 156, 195, 234, etc.

The least multiple on the two lists that they have in common is the LCM of 13 and 39. Therefore, the LCM of 13 and 39 is 39.

To find the GCF, we first list the factors of 13 and 39 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.

In other words, the factors of 13 are all the numbers that can evenly divide into 13, and the factors of 39 are all the numbers that can evenly divide into 39. Here are the factors for 13 and 39:

Factors of 13: 1 and 13.

Factors of 39: 1, 3, 13, and 39.

The greatest factor on the two lists that they have in common is the GCF of 13 and 39. Therefore, the GCF of 13 and 39 is 13.

In summary, the answer to the question "What is the LCM and GCF of 13 and 39?" is

39 and 13.

LCM and GCF Calculator
Do you need the LCM and GCF for another set of numbers? No problem, please enter them below:

What is the LCM and GCF of 13 and 40?
Here is the next LCM and GCF question on our list that we have tackled!

Copyright  |   Privacy Policy  |   Disclaimer  |   Contact

Whats the LCM for 13 and 39?

What is the GCF of 39?

What is the relationship between 13 and 39?

How do you find the GCF of 13?