The gcf the 21 and 33 is the largest positive integer that divides the number 21 and 33 without a remainder. Order out, it is the greatest typical factor that 21 and also 33. Here you can find the gcf that 21 and 33, along with a complete of three methods for computer it. In addition, we have actually a calculator friend should examine out. No only can it determine the gcf the 21 and also 33, but also that of 3 or much more integers including twenty-one and also thirty-three for example. Keep reading to find out everything about the gcf (21,33) and also the terms pertained to it.

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## What is the GCF of 21 and also 33

If you simply want to know what is the greatest common factor the 21 and also 33, the is 3. Usually, this is written asgcf(21,33) = 3

The gcf the 21 and also 33 can be acquired like this:

The components of 21 are 21, 7, 3, 1. The determinants of 33 space 33, 11, 3, 1. The common determinants of 21 and also 33 room 3, 1, intersecting the two sets above. In the intersection determinants of 21 ∩ factors of 33 the greatest aspect is 3. Therefore, the greatest usual factor the 21 and 33 is 3.

Taking the over into account you also know just how to discover all the typical factors that 21 and 33, not just the greatest. In the following section we show you just how to calculate the gcf the twenty-one and also thirty-three by means of two an ext methods.

## How to find the GCF that 21 and also 33

The greatest typical factor the 21 and 33 can be computed by making use of the least usual multiple aka lcm of 21 and also 33. This is the simplest approach:

gcf (21,33) = frac21 imes 33lcm(21,33) = frac693231 = 3

Alternatively, the gcf that 21 and 33 can be discovered using the prime factorization of 21 and 33:

The element factorization of 21 is: 3 x 7 The element factorization of 33 is: 3 x 11 The element factors and also multiplicities 21 and 33 have in usual are: 3 3 is the gcf that 21 and 33 gcf(21,33) = 3

In any type of case, the easiest means to compute the gcf of 2 numbers like 21 and also 33 is by using our calculator below. Note that the can additionally compute the gcf of an ext than 2 numbers, be separated by a comma. For example, enter 21,33. The calculation is carried out automatically.
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## Use the GCF the 21 and 33

What is the greatest common factor the 21 and 33 used for? Answer: it is useful for reducing fractions prefer 21 / 33. Just divide the nominator and the denominator through the gcf (21,33) to mitigate the fraction to lowest terms.

frac2133 = fracfrac213frac333 = frac711.

## Properties that GCF the 21 and also 33

The most crucial properties that the gcf(21,33) are:

Commutative property: gcf(21,33) = gcf(33,21) Associative property: gcf(21,33,n) = gcf(gcf(33,21),n) n eq 0 hinspacein hinspacemathbbZ

The associativity is specifically useful to get the gcf of 3 or an ext numbers; ours calculator renders use that it.

To amount up, the gcf of 21 and 33 is 3. In usual notation: gcf (21,33) = 3.

If you have been searching for gcf 21 and also 33 or gcf 21 33 then you have involved the exactly page, too. The exact same is the true if friend typed gcf because that 21 and also 33 in her favorite find engine.

Note the you can uncover the greatest typical factor of many integer pairs consisting of twenty-one / thirty-three by utilizing the the search type in the sidebar the this page.

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