Greatest Common Factor of 6891/51, 3693/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6891/51, 3693/377

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 6891/51,3693/377

Given fractions are 6891/51,3693/377

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 6891,3693

Greatest Common Factor of Numerators i.e. GCF of 6891,3693 is 3 .

LCM of Denominators means LCM of 51,377 as per the given fractions.

LCM of 51,377 is 19227 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6891,3693

GCF of Fractions 6891/51,3693/377 is 3/19227

3 6891, 3693
2297, 1231

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

Greatest Common Factor of 6891,3693 By Matching Biggest Common Factor Method

Greatest Common Factor of 6891,3693 By Matching Biggest Common Factor Method

Factors of 6891

List of positive integer factors of 6891 that divides 6891 without a remainder.

1,3,2297,6891

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Greatest Common Factor

We found the factors 6891,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 6891,3693 is 3.

Lets's calculate LCM of 51,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 19227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19227

Therefore, the GCF of Fractions 6891/51,3693/377 is 3/19227

Least Common Multiple of 51,377 with GCF Formula

Least Common Multiple of 51,377 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 51,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,377) = 1

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

GCF(51,377) x common factors =1 x 1 = 1

LCM(51,377) = ( 51 × 377 ) / 1

LCM(51,377) = 19227 / 1

LCM(51,377) = 19227


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 6891/51, 3693/377

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 6891/51, 3693/377?

Answer: GCF of Numerators as per given numbers 6891/51, 3693/377 is

GCF of Numerators i.e. for 6891,3693 is 3

LCM of denominators i.e. for 51,377 is 19227.

Thus, GCF of Fractions is 3/19227.Finally, GCF of Fractions for 6891/51, 3693/377 is 3/19227.