Greatest Common Factor of 8619/681, 1191/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8619/681, 1191/983

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 8619/681,1191/983

Given fractions are 8619/681,1191/983

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 8619,1191

Greatest Common Factor of Numerators i.e. GCF of 8619,1191 is 3 .

LCM of Denominators means LCM of 681,983 as per the given fractions.

LCM of 681,983 is 669423 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8619,1191

GCF of Fractions 8619/681,1191/983 is 3/669423

3 8619, 1191
2873, 397

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

Greatest Common Factor of 8619,1191 By Matching Biggest Common Factor Method

Greatest Common Factor of 8619,1191 By Matching Biggest Common Factor Method

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1,3,13,17,39,51,169,221,507,663,2873,8619

Factors of 1191

List of positive integer factors of 1191 that divides 1191 without a remainder.

1,3,397,1191

Greatest Common Factor

We found the factors 8619,1191 . The biggest common factor number is the GCF number.
So the greatest common factor 8619,1191 is 3.

Lets's calculate LCM of 681,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 669423

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/669423

Therefore, the GCF of Fractions 8619/681,1191/983 is 3/669423

Least Common Multiple of 681,983 with GCF Formula

Least Common Multiple of 681,983 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 681,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,983) = 1

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

GCF(681,983) x common factors =1 x 1 = 1

LCM(681,983) = ( 681 × 983 ) / 1

LCM(681,983) = 669423 / 1

LCM(681,983) = 669423


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 8619/681, 1191/983

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 8619/681, 1191/983?

Answer: GCF of Numerators as per given numbers 8619/681, 1191/983 is

GCF of Numerators i.e. for 8619,1191 is 3

LCM of denominators i.e. for 681,983 is 669423.

Thus, GCF of Fractions is 3/669423.Finally, GCF of Fractions for 8619/681, 1191/983 is 3/669423.