Greatest Common Factor of 8319/263, 2891/6840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8319/263, 2891/6840

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 8319/263,2891/6840

Given fractions are 8319/263,2891/6840

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 8319,2891

Greatest Common Factor of Numerators i.e. GCF of 8319,2891 is 59 .

LCM of Denominators means LCM of 263,6840 as per the given fractions.

LCM of 263,6840 is 1798920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8319,2891

GCF of Fractions 8319/263,2891/6840 is 59/1798920

59 8319, 2891
141, 49

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 8319,2891 By Matching Biggest Common Factor Method

Greatest Common Factor of 8319,2891 By Matching Biggest Common Factor Method

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1,3,47,59,141,177,2773,8319

Factors of 2891

List of positive integer factors of 2891 that divides 2891 without a remainder.

1,7,49,59,413,2891

Greatest Common Factor

We found the factors 8319,2891 . The biggest common factor number is the GCF number.
So the greatest common factor 8319,2891 is 59.

Lets's calculate LCM of 263,6840

Given numbers has no common factors except 1. So, there LCM is their product i.e 1798920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/1798920

Therefore, the GCF of Fractions 8319/263,2891/6840 is 59/1798920

Least Common Multiple of 263,6840 with GCF Formula

Least Common Multiple of 263,6840 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 263,6840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,6840) = 1

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

GCF(263,6840) x common factors =1 x 1 = 1

LCM(263,6840) = ( 263 × 6840 ) / 1

LCM(263,6840) = 1798920 / 1

LCM(263,6840) = 1798920


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 8319/263, 2891/6840

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 8319/263, 2891/6840?

Answer: GCF of Numerators as per given numbers 8319/263, 2891/6840 is

GCF of Numerators i.e. for 8319,2891 is 59

LCM of denominators i.e. for 263,6840 is 1798920.

Thus, GCF of Fractions is 59/1798920.Finally, GCF of Fractions for 8319/263, 2891/6840 is 59/1798920.