The **gcf of 8 and 20** is the largest positive integer the divides the numbers 8 and also 20 there is no a remainder. Order out, that is the greatest typical factor of 8 and also 20. Below you can discover the gcf of 8 and 20, in addition to a complete of three methods for computing it. In addition, we have actually a calculator you should check out. Not only have the right to it recognize the gcf that 8 and also 20, but also that of three or more integers consisting of eight and twenty for example. Keep analysis to learn everything about the gcf (8,20) and also the terms concerned it.

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## What is the GCF that 8 and 20

If you just want to understand *what is the greatest usual factor that 8 and also 20*, that is **4**. Usually, this is written as**gcf(8,20) = 4**

The gcf of 8 and 20 deserve to be acquired like this:

The determinants of 8 room 8, 4, 2, 1. The determinants of 20 are 20, 10, 5, 4, 2, 1. The*common*components of 8 and also 20 are 4, 2, 1, intersecting the 2 sets above. In the intersection factors of 8 ∩ components of 20 the

*greatest*element is 4. Therefore, the

**greatest usual factor the 8 and also 20 is 4**.

Taking the above into account you additionally know exactly how to discover *all* the common factors that 8 and also 20, not just the greatest. In the following section we display you just how to calculation the gcf that eight and twenty by way of two more methods.

## How to uncover the GCF the 8 and also 20

The greatest typical factor that 8 and 20 deserve to be computed by making use of the least usual multiple aka lcm the 8 and 20. This is the simplest approach:

gcf (8,20) = frac8 imes 20lcm(8,20) = frac16040 = 4

Alternatively, the gcf the 8 and also 20 deserve to be discovered using the element factorization of 8 and also 20:

The prime factorization that 8 is: 2 x 2 x 2 The element factorization of 20 is: 2 x 2 x 5 The prime factors and also multiplicities 8 and 20 have actually in typical are: 2 x 2 2 x 2 is the gcf of 8 and also 20 gcf(8,20) = 4In any kind of case, the easiest means to compute the gcf of 2 numbers choose 8 and 20 is by using our calculator below. Keep in mind that the can also compute the gcf of an ext than 2 numbers, be separate by a comma. For example, enter 8,20. The calculation is carried out automatically.

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## Use that GCF that 8 and 20

What is the greatest typical factor the 8 and also 20 supplied for? Answer: that is advantageous for reduce fractions choose 8 / 20. Just divide the nominator as well as the denominator by the gcf (8,20) to minimize the portion to shortest terms.

frac820 = fracfrac84frac204 = frac25.

## Properties the GCF of 8 and 20

The most crucial properties the the gcf(8,20) are:

Commutative property: gcf(8,20) = gcf(20,8) Associative property: gcf(8,20,n) = gcf(gcf(20,8),n) n eq 0 hinspacein hinspacemathbbZThe associativity is specifically useful to obtain the gcf of three or more numbers; our calculator makes use the it.

To amount up, the gcf of 8 and 20 is 4. In common notation: gcf (8,20) = 4.

If you have actually been trying to find gcf 8 and also 20 or gcf 8 20 then you have pertained to the correct page, too. The same is the true if you typed gcf because that 8 and also 20 in her favorite search engine.

Note that you can find the greatest typical factor of many integer pairs including eight / twenty by using the search kind in the sidebar that this page.

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