Greatest Common Factor of 12/806, 2956/9269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/806, 2956/9269

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 12/806,2956/9269

Given fractions are 12/806,2956/9269

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 12,2956

Greatest Common Factor of Numerators i.e. GCF of 12,2956 is 4 .

LCM of Denominators means LCM of 806,9269 as per the given fractions.

LCM of 806,9269 is 18538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,2956

GCF of Fractions 12/806,2956/9269 is 4/18538

2 12, 2956
2 6, 1478
3, 739

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 12,2956 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,2956 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1,2,4,739,1478,2956

Greatest Common Factor

We found the factors 12,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 12,2956 is 4.

Lets's calculate LCM of 806,9269

13 806, 9269
31 62, 713
2, 23

∴ So the LCM of the given numbers is 13 x 31 x 2 x 23 = 18538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18538

Therefore, the GCF of Fractions 12/806,2956/9269 is 4/18538

Least Common Multiple of 806,9269 with GCF Formula

Least Common Multiple of 806,9269 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 806,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,9269) = 403

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

GCF(806,9269) x common factors =403 x 1 = 403

LCM(806,9269) = ( 806 × 9269 ) / 403

LCM(806,9269) = 7470814 / 403

LCM(806,9269) = 18538


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 12/806, 2956/9269

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 12/806, 2956/9269?

Answer: GCF of Numerators as per given numbers 12/806, 2956/9269 is

GCF of Numerators i.e. for 12,2956 is 4

LCM of denominators i.e. for 806,9269 is 18538.

Thus, GCF of Fractions is 4/18538.Finally, GCF of Fractions for 12/806, 2956/9269 is 4/18538.