Greatest Common Factor of 6813/916, 3211/8396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6813/916, 3211/8396

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 6813/916,3211/8396

Given fractions are 6813/916,3211/8396

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 6813,3211

Greatest Common Factor of Numerators i.e. GCF of 6813,3211 is 1 .

LCM of Denominators means LCM of 916,8396 as per the given fractions.

LCM of 916,8396 is 1922684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6813,3211

GCF of Fractions 6813/916,3211/8396 is 1/1922684

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

Greatest Common Factor of 6813,3211 By Matching Biggest Common Factor Method

Greatest Common Factor of 6813,3211 By Matching Biggest Common Factor Method

Factors of 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1,3,9,757,2271,6813

Factors of 3211

List of positive integer factors of 3211 that divides 3211 without a remainder.

1,13,19,169,247,3211

Greatest Common Factor

We found the factors 6813,3211 . The biggest common factor number is the GCF number.
So the greatest common factor 6813,3211 is 1.

Lets's calculate LCM of 916,8396

2 916, 8396
2 458, 4198
229, 2099

∴ So the LCM of the given numbers is 2 x 2 x 229 x 2099 = 1922684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1922684

Therefore, the GCF of Fractions 6813/916,3211/8396 is 1/1922684

Least Common Multiple of 916,8396 with GCF Formula

Least Common Multiple of 916,8396 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 916,8396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,8396) = 4

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

GCF(916,8396) x common factors =4 x 1 = 4

LCM(916,8396) = ( 916 × 8396 ) / 4

LCM(916,8396) = 7690736 / 4

LCM(916,8396) = 1922684


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 6813/916, 3211/8396

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 6813/916, 3211/8396?

Answer: GCF of Numerators as per given numbers 6813/916, 3211/8396 is

GCF of Numerators i.e. for 6813,3211 is 1

LCM of denominators i.e. for 916,8396 is 1922684.

Thus, GCF of Fractions is 1/1922684.Finally, GCF of Fractions for 6813/916, 3211/8396 is 1/1922684.