Greatest Common Factor of 8679/140, 6549/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8679/140, 6549/383

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 8679/140,6549/383

Given fractions are 8679/140,6549/383

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 8679,6549

Greatest Common Factor of Numerators i.e. GCF of 8679,6549 is 3 .

LCM of Denominators means LCM of 140,383 as per the given fractions.

LCM of 140,383 is 53620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8679,6549

GCF of Fractions 8679/140,6549/383 is 3/53620

3 8679, 6549
2893, 2183

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

Greatest Common Factor of 8679,6549 By Matching Biggest Common Factor Method

Greatest Common Factor of 8679,6549 By Matching Biggest Common Factor Method

Factors of 8679

List of positive integer factors of 8679 that divides 8679 without a remainder.

1,3,11,33,263,789,2893,8679

Factors of 6549

List of positive integer factors of 6549 that divides 6549 without a remainder.

1,3,37,59,111,177,2183,6549

Greatest Common Factor

We found the factors 8679,6549 . The biggest common factor number is the GCF number.
So the greatest common factor 8679,6549 is 3.

Lets's calculate LCM of 140,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 53620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53620

Therefore, the GCF of Fractions 8679/140,6549/383 is 3/53620

Least Common Multiple of 140,383 with GCF Formula

Least Common Multiple of 140,383 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 140,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,383) = 1

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

GCF(140,383) x common factors =1 x 1 = 1

LCM(140,383) = ( 140 × 383 ) / 1

LCM(140,383) = 53620 / 1

LCM(140,383) = 53620


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 8679/140, 6549/383

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 8679/140, 6549/383?

Answer: GCF of Numerators as per given numbers 8679/140, 6549/383 is

GCF of Numerators i.e. for 8679,6549 is 3

LCM of denominators i.e. for 140,383 is 53620.

Thus, GCF of Fractions is 3/53620.Finally, GCF of Fractions for 8679/140, 6549/383 is 3/53620.