Greatest Common Factor of 8387/12, 7898/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8387/12, 7898/981

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 8387/12,7898/981

Given fractions are 8387/12,7898/981

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 8387,7898

Greatest Common Factor of Numerators i.e. GCF of 8387,7898 is 1 .

LCM of Denominators means LCM of 12,981 as per the given fractions.

LCM of 12,981 is 3924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8387,7898

GCF of Fractions 8387/12,7898/981 is 1/3924

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

Greatest Common Factor of 8387,7898 By Matching Biggest Common Factor Method

Greatest Common Factor of 8387,7898 By Matching Biggest Common Factor Method

Factors of 8387

List of positive integer factors of 8387 that divides 8387 without a remainder.

1,8387

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1,2,11,22,359,718,3949,7898

Greatest Common Factor

We found the factors 8387,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,7898 is 1.

Lets's calculate LCM of 12,981

3 12, 981
4, 327

∴ So the LCM of the given numbers is 3 x 4 x 327 = 3924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3924

Therefore, the GCF of Fractions 8387/12,7898/981 is 1/3924

Least Common Multiple of 12,981 with GCF Formula

Least Common Multiple of 12,981 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 12,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,981) = 3

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

GCF(12,981) x common factors =3 x 1 = 3

LCM(12,981) = ( 12 × 981 ) / 3

LCM(12,981) = 11772 / 3

LCM(12,981) = 3924


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 8387/12, 7898/981

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 8387/12, 7898/981?

Answer: GCF of Numerators as per given numbers 8387/12, 7898/981 is

GCF of Numerators i.e. for 8387,7898 is 1

LCM of denominators i.e. for 12,981 is 3924.

Thus, GCF of Fractions is 1/3924.Finally, GCF of Fractions for 8387/12, 7898/981 is 1/3924.