Greatest Common Factor of 9981/807, 8371/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9981/807, 8371/134

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 9981/807,8371/134

Given fractions are 9981/807,8371/134

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 9981,8371

Greatest Common Factor of Numerators i.e. GCF of 9981,8371 is 1 .

LCM of Denominators means LCM of 807,134 as per the given fractions.

LCM of 807,134 is 108138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9981,8371

GCF of Fractions 9981/807,8371/134 is 1/108138

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

Greatest Common Factor of 9981,8371 By Matching Biggest Common Factor Method

Greatest Common Factor of 9981,8371 By Matching Biggest Common Factor Method

Factors of 9981

List of positive integer factors of 9981 that divides 9981 without a remainder.

1,3,9,1109,3327,9981

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1,11,761,8371

Greatest Common Factor

We found the factors 9981,8371 . The biggest common factor number is the GCF number.
So the greatest common factor 9981,8371 is 1.

Lets's calculate LCM of 807,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 108138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108138

Therefore, the GCF of Fractions 9981/807,8371/134 is 1/108138

Least Common Multiple of 807,134 with GCF Formula

Least Common Multiple of 807,134 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 807,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,134) = 1

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

GCF(807,134) x common factors =1 x 1 = 1

LCM(807,134) = ( 807 × 134 ) / 1

LCM(807,134) = 108138 / 1

LCM(807,134) = 108138


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 9981/807, 8371/134

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 9981/807, 8371/134?

Answer: GCF of Numerators as per given numbers 9981/807, 8371/134 is

GCF of Numerators i.e. for 9981,8371 is 1

LCM of denominators i.e. for 807,134 is 108138.

Thus, GCF of Fractions is 1/108138.Finally, GCF of Fractions for 9981/807, 8371/134 is 1/108138.