The gcf that 9 and 15 is the biggest positive integer the divides the number 9 and 15 there is no a remainder. Spelled out, it is the greatest usual factor the 9 and also 15. Right here you can uncover the gcf that 9 and also 15, along with a total of three approaches for computer it. In addition, we have actually a calculator girlfriend should inspect out. Not only deserve to it determine the gcf that 9 and also 15, but additionally that of three or more integers including nine and also fifteen because that example. Keep analysis to find out everything about the gcf (9,15) and also the terms related to it.

You are watching: Greatest common factor of 9 and 15

## What is the GCF that 9 and also 15

If you simply want to understand what is the greatest usual factor that 9 and also 15, it is 3. Usually, this is composed asgcf(9,15) = 3

The gcf of 9 and also 15 can be acquired like this:

The factors of 9 are 9, 3, 1. The determinants of 15 room 15, 5, 3, 1. The common factors of 9 and 15 are 3, 1, intersecting the two sets above. In the intersection determinants of 9 ∩ factors of 15 the greatest aspect is 3. Therefore, the greatest usual factor that 9 and also 15 is 3.

Taking the above into account you additionally know exactly how to discover all the common factors the 9 and 15, not just the greatest. In the following section we present you exactly how to calculate the gcf that nine and fifteen by way of two more methods.

## How to discover the GCF of 9 and also 15

The greatest usual factor that 9 and 15 can be computed by making use of the least typical multiple aka lcm that 9 and also 15. This is the most basic approach:

gcf (9,15) = frac9 imes 15lcm(9,15) = frac13545 = 3

Alternatively, the gcf that 9 and 15 deserve to be discovered using the prime factorization that 9 and also 15:

The prime factorization of 9 is: 3 x 3 The element factorization of 15 is: 3 x 5 The element factors and also multiplicities 9 and also 15 have actually in typical are: 3 3 is the gcf the 9 and 15 gcf(9,15) = 3

In any kind of case, the easiest means to compute the gcf of two numbers choose 9 and 15 is by making use of our calculator below. Keep in mind that the can also compute the gcf of an ext than two numbers, be separated by a comma. Because that example, get in 9,15. The calculate is carried out automatically.
Integers:
comparable searched state on our site likewise include:

## Use the GCF of 9 and 15

What is the greatest typical factor that 9 and also 15 used for? Answer: it is advantageous for reduce fractions favor 9 / 15. Just divide the nominator and the denominator by the gcf (9,15) to mitigate the portion to lowest terms.

frac915 = fracfrac93frac153 = frac35.

## Properties the GCF the 9 and 15

The most important properties of the gcf(9,15) are:

Commutative property: gcf(9,15) = gcf(15,9) Associative property: gcf(9,15,n) = gcf(gcf(15,9),n) n eq 0 hinspacein hinspacemathbbZ

The associativity is specifically useful to acquire the gcf of three or much more numbers; ours calculator makes use of it.

To amount up, the gcf that 9 and 15 is 3. In usual notation: gcf (9,15) = 3.

If you have actually been trying to find gcf 9 and 15 or gcf 9 15 then you have pertained to the correct page, too. The exact same is the true if girlfriend typed gcf because that 9 and also 15 in your favorite search engine.

Note the you can uncover the greatest common factor of many integer pairs consisting of nine / fifteen by using the search form in the sidebar the this page.

Questions and comments regarded the gcf of 9 and 15 are really appreciated. Usage the type below or send united state a letter to obtain in touch.

See more: Wh A Group Of Gorillas Is Called, What Is A Group Of Gorillas Called

Please struggle the share buttons if our article around the greatest common factor of 9 and 15 has been beneficial to you, and make certain to bookmark our site.