Greatest Common Factor of 884/309, 526/838, 299/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/309, 526/838, 299/903

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 884/309,526/838,299/903

Given fractions are 884/309,526/838,299/903

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 884,526,299

Greatest Common Factor of Numerators i.e. GCF of 884,526,299 is 1 .

LCM of Denominators means LCM of 309,838,903 as per the given fractions.

LCM of 309,838,903 is 77941542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,526,299

GCF of Fractions 884/309,526/838,299/903 is 1/77941542

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

Greatest Common Factor of 884,526,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,526,299 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 884,526,299 . The biggest common factor number is the GCF number.
So the greatest common factor 884,526,299 is 1.

Lets's calculate LCM of 309,838,903

3 309, 838, 903
103, 838, 301

∴ So the LCM of the given numbers is 3 x 103 x 838 x 301 = 77941542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77941542

Therefore, the GCF of Fractions 884/309,526/838,299/903 is 1/77941542

Least Common Multiple of 309,838,903 with GCF Formula

Least Common Multiple of 309,838,903 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 309,838,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,838,903) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(309,838,903) x common factors =1 x 3 = 3

LCM(309,838,903) = ( 309 × 838 × 903 ) / 3

LCM(309,838,903) = 233824626 / 3

LCM(309,838,903) = 77941542


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 884/309, 526/838, 299/903

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 884/309, 526/838, 299/903?

Answer: GCF of Numerators as per given numbers 884/309, 526/838, 299/903 is

GCF of Numerators i.e. for 884,526,299 is 1

LCM of denominators i.e. for 309,838,903 is 77941542.

Thus, GCF of Fractions is 1/77941542.Finally, GCF of Fractions for 884/309, 526/838, 299/903 is 1/77941542.