GCF of 98 and 7


The gcf of 98 and 7 is the largest positive integer that divides the numbers 98 and 7 without a remainder. Spelled out, it is the greatest common factor of 98 and 7. Here you can find the gcf of 98 and 7, 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 98 and 7, but also that of three or more integers including ninety-eight and seven for example. Keep reading to learn everything about the gcf (98,7) and the terms related to it.

What is the GCF of 98 and 7

If you just want to know what is the greatest common factor of 98 and 7, it is 7. Usually, this is written as

gcf(98,7) = 7

The gcf of 98 and 7 can be obtained like this:

  • The factors of 98 are 98, 49, 14, 7, 2, 1.
  • The factors of 7 are 7, 1.
  • The common factors of 98 and 7 are 7, 1, intersecting the two sets above.
  • In the intersection factors of 98 ∩ factors of 7 the greatest element is 7.
  • Therefore, the greatest common factor of 98 and 7 is 7.

Taking the above into account you also know how to find all the common factors of 98 and 7, not just the greatest. In the next section we show you how to calculate the gcf of ninety-eight and seven by means of two more methods.

How to find the GCF of 98 and 7

The greatest common factor of 98 and 7 can be computed by using the least common multiple aka lcm of 98 and 7. This is the easiest approach:

gcf (98,7) = $\frac{98 \times 7}{lcm(98,7)} = \frac{686}{98}$ = 7

Alternatively, the gcf of 98 and 7 can be found using the prime factorization of 98 and 7:

  • The prime factorization of 98 is: 2 x 7 x 7
  • The prime factorization of 7 is: 7
  • The prime factors and multiplicities 98 and 7 have in common are: 7
  • 7 is the gcf of 98 and 7
  • gcf(98,7) = 7

In any case, the easiest way to compute the gcf of two numbers like 98 and 7 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 98,7. The calculation is conducted automatically.

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

Use of GCF of 98 and 7

What is the greatest common factor of 98 and 7 used for? Answer: It is helpful for reducing fractions like 98 / 7. Just divide the nominator as well as the denominator by the gcf (98,7) to reduce the fraction to lowest terms.

$\frac{98}{7} = \frac{\frac{98}{7}}{\frac{7}{7}} = \frac{14}{1}$.

Properties of GCF of 98 and 7

The most important properties of the gcf(98,7) are:

  • Commutative property: gcf(98,7) = gcf(7,98)
  • Associative property: gcf(98,7,n) = gcf(gcf(7,98),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 98 and 7 is 7. In common notation: gcf (98,7) = 7.

If you have been searching for gcf 98 and 7 or gcf 98 7 then you have come to the correct page, too. The same is the true if you typed gcf for 98 and 7 in your favorite search engine.

Note that you can find the greatest common factor of many integer pairs including ninety-eight / seven by using the search form in the sidebar of this page.

Questions and comments related to the gcf of 98 and 7 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 98 and 7 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 182prime factorization 52multiplication table 90x90what is the prime factorization of 126is 223 a prime numbermultiplication table up to 1000multiplication chart to 300what is the prime factorization of 330prime factorization of 154180 as a product of prime factorsgcf factor calculatorprime factorization of 85is 44 a prime or composite numberprime factorization of 138prime factorization 196what is the greatest common factor of 84prime factorization of 297what is the prime factorization of 249prime factorization of 500prime factors of 250108 as a product of prime factorswhat are the prime factors of 90the prime factorization of 144prime factorization of 176lcm of 5 7prime factorization of 43200 multiplication chartgcf of 81 and 64factor tree for 90what is the prime factorization of 168prime factor of 84multiplication table to 40multiplication table of 27is 87 a prime or composite numberwhat is the greatest common factor of 34 and 51is 27 a prime number or a composite numberprime factors of 220gcf of 49 and 8181-64multiplication table 1-25gcf of 54 and 63what is the gcf of 6prime factorization for 300common multiples of 6 and 7prime factorization of 250greatest common factor of 72 and 108common multiples of 2 and 4what is the gcf of 35 and 63prime factors of 132prime factorization 105what is the prime factorization of 333whats the prime factorization of 63prime factors of 210multiplication chart 200greatest common factor of 48 and 54multiplication 4 times tableswhat is the prime factorization of 40089 prime factorizationprime factorization of 244what is the lcm of 2 and 8702 756 5346what is the prime factorization of 196gcf of 12198 prime factorizationmultiplication chart 40x40prime factors of 210what is the lcm of 2 and 8hcf of 84 and 120what is the prime factorization of 92prime factorization of 315prime factors of numbers 1 100is 21 a prime number or a composite numbermultiplication table up to 25what is the prime factorization of 56what is the prime factorization of 165greatest common factor of 64 and 4828 product of prime factorsfind the prime factorization of 200multiplication table 1-500greatest common factor of 48 and 64prime factorization 441