Greatest Common Factor of 6927/57, 8681/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6927/57, 8681/195

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 6927/57,8681/195

Given fractions are 6927/57,8681/195

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 6927,8681

Greatest Common Factor of Numerators i.e. GCF of 6927,8681 is 1 .

LCM of Denominators means LCM of 57,195 as per the given fractions.

LCM of 57,195 is 3705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6927,8681

GCF of Fractions 6927/57,8681/195 is 1/3705

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

Greatest Common Factor of 6927,8681 By Matching Biggest Common Factor Method

Greatest Common Factor of 6927,8681 By Matching Biggest Common Factor Method

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1,3,2309,6927

Factors of 8681

List of positive integer factors of 8681 that divides 8681 without a remainder.

1,8681

Greatest Common Factor

We found the factors 6927,8681 . The biggest common factor number is the GCF number.
So the greatest common factor 6927,8681 is 1.

Lets's calculate LCM of 57,195

3 57, 195
19, 65

∴ So the LCM of the given numbers is 3 x 19 x 65 = 3705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3705

Therefore, the GCF of Fractions 6927/57,8681/195 is 1/3705

Least Common Multiple of 57,195 with GCF Formula

Least Common Multiple of 57,195 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 57,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,195) = 3

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

GCF(57,195) x common factors =3 x 1 = 3

LCM(57,195) = ( 57 × 195 ) / 3

LCM(57,195) = 11115 / 3

LCM(57,195) = 3705


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 6927/57, 8681/195

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 6927/57, 8681/195?

Answer: GCF of Numerators as per given numbers 6927/57, 8681/195 is

GCF of Numerators i.e. for 6927,8681 is 1

LCM of denominators i.e. for 57,195 is 3705.

Thus, GCF of Fractions is 1/3705.Finally, GCF of Fractions for 6927/57, 8681/195 is 1/3705.