Greatest Common Factor of 8369/21, 6109/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8369/21, 6109/141

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 8369/21,6109/141

Given fractions are 8369/21,6109/141

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 8369,6109

Greatest Common Factor of Numerators i.e. GCF of 8369,6109 is 1 .

LCM of Denominators means LCM of 21,141 as per the given fractions.

LCM of 21,141 is 987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8369,6109

GCF of Fractions 8369/21,6109/141 is 1/987

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

Greatest Common Factor of 8369,6109 By Matching Biggest Common Factor Method

Greatest Common Factor of 8369,6109 By Matching Biggest Common Factor Method

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1,8369

Factors of 6109

List of positive integer factors of 6109 that divides 6109 without a remainder.

1,41,149,6109

Greatest Common Factor

We found the factors 8369,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 8369,6109 is 1.

Lets's calculate LCM of 21,141

3 21, 141
7, 47

∴ So the LCM of the given numbers is 3 x 7 x 47 = 987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987

Therefore, the GCF of Fractions 8369/21,6109/141 is 1/987

Least Common Multiple of 21,141 with GCF Formula

Least Common Multiple of 21,141 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 21,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,141) = 3

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

GCF(21,141) x common factors =3 x 1 = 3

LCM(21,141) = ( 21 × 141 ) / 3

LCM(21,141) = 2961 / 3

LCM(21,141) = 987


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 8369/21, 6109/141

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 8369/21, 6109/141?

Answer: GCF of Numerators as per given numbers 8369/21, 6109/141 is

GCF of Numerators i.e. for 8369,6109 is 1

LCM of denominators i.e. for 21,141 is 987.

Thus, GCF of Fractions is 1/987.Finally, GCF of Fractions for 8369/21, 6109/141 is 1/987.