Greatest Common Factor of 6391/140, 3718/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6391/140, 3718/5935

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 6391/140,3718/5935

Given fractions are 6391/140,3718/5935

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 6391,3718

Greatest Common Factor of Numerators i.e. GCF of 6391,3718 is 11 .

LCM of Denominators means LCM of 140,5935 as per the given fractions.

LCM of 140,5935 is 166180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6391,3718

GCF of Fractions 6391/140,3718/5935 is 11/166180

11 6391, 3718
581, 338

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

Greatest Common Factor of 6391,3718 By Matching Biggest Common Factor Method

Greatest Common Factor of 6391,3718 By Matching Biggest Common Factor Method

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1,7,11,77,83,581,913,6391

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Greatest Common Factor

We found the factors 6391,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 6391,3718 is 11.

Lets's calculate LCM of 140,5935

5 140, 5935
28, 1187

∴ So the LCM of the given numbers is 5 x 28 x 1187 = 166180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/166180

Therefore, the GCF of Fractions 6391/140,3718/5935 is 11/166180

Least Common Multiple of 140,5935 with GCF Formula

Least Common Multiple of 140,5935 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 140,5935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,5935) = 5

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

GCF(140,5935) x common factors =5 x 1 = 5

LCM(140,5935) = ( 140 × 5935 ) / 5

LCM(140,5935) = 830900 / 5

LCM(140,5935) = 166180


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 6391/140, 3718/5935

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 6391/140, 3718/5935?

Answer: GCF of Numerators as per given numbers 6391/140, 3718/5935 is

GCF of Numerators i.e. for 6391,3718 is 11

LCM of denominators i.e. for 140,5935 is 166180.

Thus, GCF of Fractions is 11/166180.Finally, GCF of Fractions for 6391/140, 3718/5935 is 11/166180.