Greatest Common Factor of 6943/861, 3438/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6943/861, 3438/198

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 6943/861,3438/198

Given fractions are 6943/861,3438/198

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 6943,3438

Greatest Common Factor of Numerators i.e. GCF of 6943,3438 is 1 .

LCM of Denominators means LCM of 861,198 as per the given fractions.

LCM of 861,198 is 56826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6943,3438

GCF of Fractions 6943/861,3438/198 is 1/56826

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

Greatest Common Factor of 6943,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 6943,3438 By Matching Biggest Common Factor Method

Factors of 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1,53,131,6943

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 6943,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 6943,3438 is 1.

Lets's calculate LCM of 861,198

3 861, 198
287, 66

∴ So the LCM of the given numbers is 3 x 287 x 66 = 56826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56826

Therefore, the GCF of Fractions 6943/861,3438/198 is 1/56826

Least Common Multiple of 861,198 with GCF Formula

Least Common Multiple of 861,198 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 861,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,198) = 3

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

GCF(861,198) x common factors =3 x 1 = 3

LCM(861,198) = ( 861 × 198 ) / 3

LCM(861,198) = 170478 / 3

LCM(861,198) = 56826


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 6943/861, 3438/198

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 6943/861, 3438/198?

Answer: GCF of Numerators as per given numbers 6943/861, 3438/198 is

GCF of Numerators i.e. for 6943,3438 is 1

LCM of denominators i.e. for 861,198 is 56826.

Thus, GCF of Fractions is 1/56826.Finally, GCF of Fractions for 6943/861, 3438/198 is 1/56826.