Greatest Common Factor of 5723/231, 8499/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5723/231, 8499/978

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 5723/231,8499/978

Given fractions are 5723/231,8499/978

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 5723,8499

Greatest Common Factor of Numerators i.e. GCF of 5723,8499 is 1 .

LCM of Denominators means LCM of 231,978 as per the given fractions.

LCM of 231,978 is 75306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5723,8499

GCF of Fractions 5723/231,8499/978 is 1/75306

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5723,8499 By Matching Biggest Common Factor Method

Greatest Common Factor of 5723,8499 By Matching Biggest Common Factor Method

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Greatest Common Factor

We found the factors 5723,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 5723,8499 is 1.

Lets's calculate LCM of 231,978

3 231, 978
77, 326

∴ So the LCM of the given numbers is 3 x 77 x 326 = 75306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75306

Therefore, the GCF of Fractions 5723/231,8499/978 is 1/75306

Least Common Multiple of 231,978 with GCF Formula

Least Common Multiple of 231,978 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 231,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,978) = 3

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

GCF(231,978) x common factors =3 x 1 = 3

LCM(231,978) = ( 231 × 978 ) / 3

LCM(231,978) = 225918 / 3

LCM(231,978) = 75306


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 5723/231, 8499/978

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 5723/231, 8499/978?

Answer: GCF of Numerators as per given numbers 5723/231, 8499/978 is

GCF of Numerators i.e. for 5723,8499 is 1

LCM of denominators i.e. for 231,978 is 75306.

Thus, GCF of Fractions is 1/75306.Finally, GCF of Fractions for 5723/231, 8499/978 is 1/75306.