Greatest Common Factor of 6786/320, 5892/4274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6786/320, 5892/4274

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 6786/320,5892/4274

Given fractions are 6786/320,5892/4274

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 6786,5892

Greatest Common Factor of Numerators i.e. GCF of 6786,5892 is 6 .

LCM of Denominators means LCM of 320,4274 as per the given fractions.

LCM of 320,4274 is 683840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6786,5892

GCF of Fractions 6786/320,5892/4274 is 6/683840

2 6786, 5892
3 3393, 2946
1131, 982

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6786,5892 By Matching Biggest Common Factor Method

Greatest Common Factor of 6786,5892 By Matching Biggest Common Factor Method

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 6786,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 6786,5892 is 6.

Lets's calculate LCM of 320,4274

2 320, 4274
160, 2137

∴ So the LCM of the given numbers is 2 x 160 x 2137 = 683840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/683840

Therefore, the GCF of Fractions 6786/320,5892/4274 is 6/683840

Least Common Multiple of 320,4274 with GCF Formula

Least Common Multiple of 320,4274 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 320,4274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,4274) = 2

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

GCF(320,4274) x common factors =2 x 1 = 2

LCM(320,4274) = ( 320 × 4274 ) / 2

LCM(320,4274) = 1367680 / 2

LCM(320,4274) = 683840


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 6786/320, 5892/4274

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 6786/320, 5892/4274?

Answer: GCF of Numerators as per given numbers 6786/320, 5892/4274 is

GCF of Numerators i.e. for 6786,5892 is 6

LCM of denominators i.e. for 320,4274 is 683840.

Thus, GCF of Fractions is 6/683840.Finally, GCF of Fractions for 6786/320, 5892/4274 is 6/683840.