Greatest Common Factor of 231/458, 8617/7328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/458, 8617/7328

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 231/458,8617/7328

Given fractions are 231/458,8617/7328

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 231,8617

Greatest Common Factor of Numerators i.e. GCF of 231,8617 is 7 .

LCM of Denominators means LCM of 458,7328 as per the given fractions.

LCM of 458,7328 is 7328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,8617

GCF of Fractions 231/458,8617/7328 is 7/7328

7 231, 8617
33, 1231

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 231,8617 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,8617 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1,7,1231,8617

Greatest Common Factor

We found the factors 231,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 231,8617 is 7.

Lets's calculate LCM of 458,7328

2 458, 7328
229 229, 3664
1, 16

∴ So the LCM of the given numbers is 2 x 229 x 1 x 16 = 7328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7328

Therefore, the GCF of Fractions 231/458,8617/7328 is 7/7328

Least Common Multiple of 458,7328 with GCF Formula

Least Common Multiple of 458,7328 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 458,7328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,7328) = 458

common factors(in case of two or more numbers have common factors) = 1

GCF(458,7328) x common factors =458 x 1 = 458

LCM(458,7328) = ( 458 × 7328 ) / 458

LCM(458,7328) = 3356224 / 458

LCM(458,7328) = 7328


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 231/458, 8617/7328

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 231/458, 8617/7328?

Answer: GCF of Numerators as per given numbers 231/458, 8617/7328 is

GCF of Numerators i.e. for 231,8617 is 7

LCM of denominators i.e. for 458,7328 is 7328.

Thus, GCF of Fractions is 7/7328.Finally, GCF of Fractions for 231/458, 8617/7328 is 7/7328.