Greatest Common Factor of 903/47, 3879/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/47, 3879/741

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 903/47,3879/741

Given fractions are 903/47,3879/741

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 903,3879

Greatest Common Factor of Numerators i.e. GCF of 903,3879 is 3 .

LCM of Denominators means LCM of 47,741 as per the given fractions.

LCM of 47,741 is 34827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,3879

GCF of Fractions 903/47,3879/741 is 3/34827

3 903, 3879
301, 1293

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

Greatest Common Factor of 903,3879 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,3879 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 3879

List of positive integer factors of 3879 that divides 3879 without a remainder.

1,3,9,431,1293,3879

Greatest Common Factor

We found the factors 903,3879 . The biggest common factor number is the GCF number.
So the greatest common factor 903,3879 is 3.

Lets's calculate LCM of 47,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 34827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34827

Therefore, the GCF of Fractions 903/47,3879/741 is 3/34827

Least Common Multiple of 47,741 with GCF Formula

Least Common Multiple of 47,741 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 47,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,741) = 1

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

GCF(47,741) x common factors =1 x 1 = 1

LCM(47,741) = ( 47 × 741 ) / 1

LCM(47,741) = 34827 / 1

LCM(47,741) = 34827


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 903/47, 3879/741

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 903/47, 3879/741?

Answer: GCF of Numerators as per given numbers 903/47, 3879/741 is

GCF of Numerators i.e. for 903,3879 is 3

LCM of denominators i.e. for 47,741 is 34827.

Thus, GCF of Fractions is 3/34827.Finally, GCF of Fractions for 903/47, 3879/741 is 3/34827.