Greatest Common Factor of 6816/237, 5340/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6816/237, 5340/291

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 6816/237,5340/291

Given fractions are 6816/237,5340/291

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 6816,5340

Greatest Common Factor of Numerators i.e. GCF of 6816,5340 is 12 .

LCM of Denominators means LCM of 237,291 as per the given fractions.

LCM of 237,291 is 22989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6816,5340

GCF of Fractions 6816/237,5340/291 is 12/22989

2 6816, 5340
2 3408, 2670
3 1704, 1335
568, 445

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6816,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 6816,5340 By Matching Biggest Common Factor Method

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 6816,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 6816,5340 is 12.

Lets's calculate LCM of 237,291

3 237, 291
79, 97

∴ So the LCM of the given numbers is 3 x 79 x 97 = 22989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/22989

Therefore, the GCF of Fractions 6816/237,5340/291 is 12/22989

Least Common Multiple of 237,291 with GCF Formula

Least Common Multiple of 237,291 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 237,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,291) = 3

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

GCF(237,291) x common factors =3 x 1 = 3

LCM(237,291) = ( 237 × 291 ) / 3

LCM(237,291) = 68967 / 3

LCM(237,291) = 22989


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 6816/237, 5340/291

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 6816/237, 5340/291?

Answer: GCF of Numerators as per given numbers 6816/237, 5340/291 is

GCF of Numerators i.e. for 6816,5340 is 12

LCM of denominators i.e. for 237,291 is 22989.

Thus, GCF of Fractions is 12/22989.Finally, GCF of Fractions for 6816/237, 5340/291 is 12/22989.