Greatest Common Factor of 6831/452, 2651/2819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6831/452, 2651/2819

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 6831/452,2651/2819

Given fractions are 6831/452,2651/2819

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 6831,2651

Greatest Common Factor of Numerators i.e. GCF of 6831,2651 is 11 .

LCM of Denominators means LCM of 452,2819 as per the given fractions.

LCM of 452,2819 is 1274188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6831,2651

GCF of Fractions 6831/452,2651/2819 is 11/1274188

11 6831, 2651
621, 241

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6831,2651 By Matching Biggest Common Factor Method

Greatest Common Factor of 6831,2651 By Matching Biggest Common Factor Method

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831

Factors of 2651

List of positive integer factors of 2651 that divides 2651 without a remainder.

1,11,241,2651

Greatest Common Factor

We found the factors 6831,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 6831,2651 is 11.

Lets's calculate LCM of 452,2819

Given numbers has no common factors except 1. So, there LCM is their product i.e 1274188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1274188

Therefore, the GCF of Fractions 6831/452,2651/2819 is 11/1274188

Least Common Multiple of 452,2819 with GCF Formula

Least Common Multiple of 452,2819 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 452,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,2819) = 1

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

GCF(452,2819) x common factors =1 x 1 = 1

LCM(452,2819) = ( 452 × 2819 ) / 1

LCM(452,2819) = 1274188 / 1

LCM(452,2819) = 1274188


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 6831/452, 2651/2819

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 6831/452, 2651/2819?

Answer: GCF of Numerators as per given numbers 6831/452, 2651/2819 is

GCF of Numerators i.e. for 6831,2651 is 11

LCM of denominators i.e. for 452,2819 is 1274188.

Thus, GCF of Fractions is 11/1274188.Finally, GCF of Fractions for 6831/452, 2651/2819 is 11/1274188.