Greatest Common Factor of 903/38, 381/5976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/38, 381/5976

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 903/38,381/5976

Given fractions are 903/38,381/5976

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 903,381

Greatest Common Factor of Numerators i.e. GCF of 903,381 is 3 .

LCM of Denominators means LCM of 38,5976 as per the given fractions.

LCM of 38,5976 is 113544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,381

GCF of Fractions 903/38,381/5976 is 3/113544

3 903, 381
301, 127

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 903,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,381 By Matching Biggest Common Factor Method

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 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 903,381 . The biggest common factor number is the GCF number.
So the greatest common factor 903,381 is 3.

Lets's calculate LCM of 38,5976

2 38, 5976
19, 2988

∴ So the LCM of the given numbers is 2 x 19 x 2988 = 113544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113544

Therefore, the GCF of Fractions 903/38,381/5976 is 3/113544

Least Common Multiple of 38,5976 with GCF Formula

Least Common Multiple of 38,5976 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 38,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5976) = 2

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

GCF(38,5976) x common factors =2 x 1 = 2

LCM(38,5976) = ( 38 × 5976 ) / 2

LCM(38,5976) = 227088 / 2

LCM(38,5976) = 113544


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 903/38, 381/5976

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 903/38, 381/5976?

Answer: GCF of Numerators as per given numbers 903/38, 381/5976 is

GCF of Numerators i.e. for 903,381 is 3

LCM of denominators i.e. for 38,5976 is 113544.

Thus, GCF of Fractions is 3/113544.Finally, GCF of Fractions for 903/38, 381/5976 is 3/113544.