Greatest Common Factor of 809/274, 903/426, 115/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 809/274, 903/426, 115/287

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 809/274,903/426,115/287

Given fractions are 809/274,903/426,115/287

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 809,903,115

Greatest Common Factor of Numerators i.e. GCF of 809,903,115 is 1 .

LCM of Denominators means LCM of 274,426,287 as per the given fractions.

LCM of 274,426,287 is 16749894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 809,903,115

GCF of Fractions 809/274,903/426,115/287 is 1/16749894

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

Greatest Common Factor of 809,903,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,903,115 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 809,903,115 . The biggest common factor number is the GCF number.
So the greatest common factor 809,903,115 is 1.

Lets's calculate LCM of 274,426,287

2 274, 426, 287
137, 213, 287

∴ So the LCM of the given numbers is 2 x 137 x 213 x 287 = 16749894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16749894

Therefore, the GCF of Fractions 809/274,903/426,115/287 is 1/16749894

Least Common Multiple of 274,426,287 with GCF Formula

Least Common Multiple of 274,426,287 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 274,426,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,426,287) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(274,426,287) x common factors =1 x 2 = 2

LCM(274,426,287) = ( 274 × 426 × 287 ) / 2

LCM(274,426,287) = 33499788 / 2

LCM(274,426,287) = 16749894


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 809/274, 903/426, 115/287

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 809/274, 903/426, 115/287?

Answer: GCF of Numerators as per given numbers 809/274, 903/426, 115/287 is

GCF of Numerators i.e. for 809,903,115 is 1

LCM of denominators i.e. for 274,426,287 is 16749894.

Thus, GCF of Fractions is 1/16749894.Finally, GCF of Fractions for 809/274, 903/426, 115/287 is 1/16749894.