The gcf that 9 and 14 is the largest positive integer the divides the numbers 9 and also 14 there is no a remainder. Assignment out, that is the greatest typical factor of 9 and 14. Below you can uncover the gcf the 9 and also 14, together with a complete of three methods for computer it. In addition, we have actually a calculator friend should inspect out. Not only deserve to it determine the gcf that 9 and 14, but likewise that of three or more integers including nine and also fourteen for example. Keep reading to learn everything about the gcf (9,14) and also the terms related to it.

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## What is the GCF that 9 and 14

If you just want to recognize what is the greatest common factor of 9 and also 14, it is 1. Usually, this is created asgcf(9,14) = 1

The gcf the 9 and 14 have the right to be obtained like this:

The factors of 9 are 9, 3, 1. The components of 14 space 14, 7, 2, 1. The common determinants of 9 and also 14 room 1, intersecting the two sets above. In the intersection factors of 9 ∩ determinants of 14 the greatest facet is 1. Therefore, the greatest typical factor that 9 and 14 is 1.

Taking the above into account you additionally know how to uncover all the typical factors of 9 and 14, not just the greatest. In the next section we show you exactly how to calculate the gcf the nine and fourteen by means of two more methods.

## How to find the GCF the 9 and 14

The greatest common factor of 9 and 14 can be computed by using the least usual multiple aka lcm that 9 and 14. This is the easiest approach:

gcf (9,14) = \frac9 \times 14lcm(9,14) = \frac126126 = 1

Alternatively, the gcf of 9 and also 14 can be discovered using the prime factorization of 9 and also 14:

The prime factorization the 9 is: 3 x 3 The element factorization the 14 is: 2 x 7 The element factors and also multiplicities 9 and 14 have actually in usual are: 1 1 is the gcf of 9 and also 14 gcf(9,14) = 1

In any case, the easiest way to compute the gcf of two numbers prefer 9 and 14 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, be separated by a comma. For example, enter 9,14. The calculate is carried out automatically.
Integers:
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## Use the GCF the 9 and 14

What is the greatest typical factor the 9 and also 14 used for? Answer: it is beneficial for reduce fractions prefer 9 / 14. Just divide the nominator and the denominator through the gcf (9,14) to mitigate the fraction to lowest terms.

\frac914 = \frac\frac91\frac141 = \frac914.

## Properties of GCF the 9 and 14

The most necessary properties that the gcf(9,14) are:

Commutative property: gcf(9,14) = gcf(14,9) Associative property: gcf(9,14,n) = gcf(gcf(14,9),n) n\neq 0 \thinspace\in\thinspace\mathbbZ

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

To sum up, the gcf of 9 and also 14 is 1. In common notation: gcf (9,14) = 1.

If you have actually been searching for gcf 9 and 14 or gcf 9 14 climate you have concerned the exactly page, too. The same is the true if friend typed gcf for 9 and 14 in her favorite search engine.

Note the you can discover the greatest typical factor of numerous integer pairs including nine / fourteen by using the search type in the sidebar the this page.

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