Greatest Common Factor of 6993/779, 8640/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6993/779, 8640/349

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 6993/779,8640/349

Given fractions are 6993/779,8640/349

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 6993,8640

Greatest Common Factor of Numerators i.e. GCF of 6993,8640 is 27 .

LCM of Denominators means LCM of 779,349 as per the given fractions.

LCM of 779,349 is 271871 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6993,8640

GCF of Fractions 6993/779,8640/349 is 27/271871

3 6993, 8640
3 2331, 2880
3 777, 960
259, 320

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 6993,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 6993,8640 By Matching Biggest Common Factor Method

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Greatest Common Factor

We found the factors 6993,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,8640 is 27.

Lets's calculate LCM of 779,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 271871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/271871

Therefore, the GCF of Fractions 6993/779,8640/349 is 27/271871

Least Common Multiple of 779,349 with GCF Formula

Least Common Multiple of 779,349 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 779,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,349) = 1

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

GCF(779,349) x common factors =1 x 1 = 1

LCM(779,349) = ( 779 × 349 ) / 1

LCM(779,349) = 271871 / 1

LCM(779,349) = 271871


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 6993/779, 8640/349

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 6993/779, 8640/349?

Answer: GCF of Numerators as per given numbers 6993/779, 8640/349 is

GCF of Numerators i.e. for 6993,8640 is 27

LCM of denominators i.e. for 779,349 is 271871.

Thus, GCF of Fractions is 27/271871.Finally, GCF of Fractions for 6993/779, 8640/349 is 27/271871.