GCF of 63 and 54


The gcf of 63 and 54 is the largest positive integer that divides the numbers 63 and 54 without a remainder. Spelled out, it is the greatest common factor of 63 and 54. Here you can find the gcf of 63 and 54, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 63 and 54, but also that of three or more integers including sixty-three and fifty-four for example. Keep reading to learn everything about the gcf (63,54) and the terms related to it.

What is the GCF of 63 and 54

If you just want to know what is the greatest common factor of 63 and 54, it is 9. Usually, this is written as

gcf(63,54) = 9

The gcf of 63 and 54 can be obtained like this:

  • The factors of 63 are 63, 21, 9, 7, 3, 1.
  • The factors of 54 are 54, 27, 18, 9, 6, 3, 2, 1.
  • The common factors of 63 and 54 are 9, 3, 1, intersecting the two sets above.
  • In the intersection factors of 63 ∩ factors of 54 the greatest element is 9.
  • Therefore, the greatest common factor of 63 and 54 is 9.

Taking the above into account you also know how to find all the common factors of 63 and 54, not just the greatest. In the next section we show you how to calculate the gcf of sixty-three and fifty-four by means of two more methods.

How to find the GCF of 63 and 54

The greatest common factor of 63 and 54 can be computed by using the least common multiple aka lcm of 63 and 54. This is the easiest approach:

gcf (63,54) = $\frac{63 \times 54}{lcm(63,54)} = \frac{3402}{378}$ = 9

Alternatively, the gcf of 63 and 54 can be found using the prime factorization of 63 and 54:

  • The prime factorization of 63 is: 3 x 3 x 7
  • The prime factorization of 54 is: 2 x 3 x 3 x 3
  • The prime factors and multiplicities 63 and 54 have in common are: 3 x 3
  • 3 x 3 is the gcf of 63 and 54
  • gcf(63,54) = 9

In any case, the easiest way to compute the gcf of two numbers like 63 and 54 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 63,54. The calculation is conducted automatically.

The gcf is...
Similar searched terms on our site also include:

Use of GCF of 63 and 54

What is the greatest common factor of 63 and 54 used for? Answer: It is helpful for reducing fractions like 63 / 54. Just divide the nominator as well as the denominator by the gcf (63,54) to reduce the fraction to lowest terms.

$\frac{63}{54} = \frac{\frac{63}{9}}{\frac{54}{9}} = \frac{7}{6}$.

Properties of GCF of 63 and 54

The most important properties of the gcf(63,54) are:

  • Commutative property: gcf(63,54) = gcf(54,63)
  • Associative property: gcf(63,54,n) = gcf(gcf(54,63),n) $\hspace{10px}n\hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.

To sum up, the gcf of 63 and 54 is 9. In common notation: gcf (63,54) = 9.

If you have been searching for gcf 63 and 54 or gcf 63 54 then you have come to the correct page, too. The same is the true if you typed gcf for 63 and 54 in your favorite search engine.

Note that you can find the greatest common factor of many integer pairs including sixty-three / fifty-four by using the search form in the sidebar of this page.

Questions and comments related to the gcf of 63 and 54 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the greatest common factor of 63 and 54 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Greatest Common Factor

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


prime factorization of 113whats a prime factorthe prime factorization of 147multiplication table 1-16prime factors of 58what is the greatest common factor of 17 and 34gcf of 42 and 66what is the prime factorization of 249common multiples of 12 and 18what is the prime factorization of 75the multiplication table up to 100what is the gcf of 84 and 96is 179 a prime numberwhat is the lcm of 4 and 10what is the prime factorization of 425find the prime factorization of 75what is the prime factorization of 875greatest common factor of 39 and 5248 prime factorizationgcf of 70 and 9825 by 25 multiplication chartfactor tree of 8125x25 multiplication chartprime factorization of 864prime factorization of 256prime factors of 250what is the prime factorization of 39what is the gcf of 34 and 85greatest common factor of 64 and 48prime factorization of 101196 prime factorization38-26-38what is the prime factorization of 288prime factorization for 72gcf of 70 and 98what is the lcm of 60 and 150common multiples of 7 and 14what is the greatest common factor of 35 and 63common multiples of 7 and 3prime factors of 95common multiples of 5 and 8common multiples of 15whats gcf98 prime factorizationwrite 600 as a product of its prime factorscommon multiples of 7prime factorization for 64multiplication table to 300prime factorization of 425is 487 a prime numberprime factorization of 41what is the prime factorization of 250composite numbers from 1 to 200what is the gcf of 35 and 63hcf of 75prime factorization of 6005x tablesis 223 a prime numberwhat is the greatest common factor of 86 and 94hcf of 45 and 72gcf of 54 and 63prime factorization of 440what are prime factors of 75what is the factor tree of 63what is the prime factorization of 735prime factorization of 212prime factorization of 77first five multiples of 12what is the prime factorization of 83what is the gcf of 75 and 90prime factors of 180what is the gcf of 63 and 42what is the prime factorization for 20045 prime factorizationdefine lowest common multipleis 487 a prime numbergreatest common factor of 42 and 56