Greatest Common Factor of 6896/12, 9278/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6896/12, 9278/993

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 6896/12,9278/993

Given fractions are 6896/12,9278/993

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 6896,9278

Greatest Common Factor of Numerators i.e. GCF of 6896,9278 is 2 .

LCM of Denominators means LCM of 12,993 as per the given fractions.

LCM of 12,993 is 3972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6896,9278

GCF of Fractions 6896/12,9278/993 is 2/3972

2 6896, 9278
3448, 4639

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6896,9278 By Matching Biggest Common Factor Method

Greatest Common Factor of 6896,9278 By Matching Biggest Common Factor Method

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1,2,4,8,16,431,862,1724,3448,6896

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1,2,4639,9278

Greatest Common Factor

We found the factors 6896,9278 . The biggest common factor number is the GCF number.
So the greatest common factor 6896,9278 is 2.

Lets's calculate LCM of 12,993

3 12, 993
4, 331

∴ So the LCM of the given numbers is 3 x 4 x 331 = 3972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3972

Therefore, the GCF of Fractions 6896/12,9278/993 is 2/3972

Least Common Multiple of 12,993 with GCF Formula

Least Common Multiple of 12,993 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 12,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,993) = 3

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

GCF(12,993) x common factors =3 x 1 = 3

LCM(12,993) = ( 12 × 993 ) / 3

LCM(12,993) = 11916 / 3

LCM(12,993) = 3972


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 6896/12, 9278/993

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 6896/12, 9278/993?

Answer: GCF of Numerators as per given numbers 6896/12, 9278/993 is

GCF of Numerators i.e. for 6896,9278 is 2

LCM of denominators i.e. for 12,993 is 3972.

Thus, GCF of Fractions is 2/3972.Finally, GCF of Fractions for 6896/12, 9278/993 is 2/3972.