Greatest Common Factor of 3731/884, 5940/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3731/884, 5940/854

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 3731/884,5940/854

Given fractions are 3731/884,5940/854

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 3731,5940

Greatest Common Factor of Numerators i.e. GCF of 3731,5940 is 1 .

LCM of Denominators means LCM of 884,854 as per the given fractions.

LCM of 884,854 is 377468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3731,5940

GCF of Fractions 3731/884,5940/854 is 1/377468

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

Greatest Common Factor of 3731,5940 By Matching Biggest Common Factor Method

Greatest Common Factor of 3731,5940 By Matching Biggest Common Factor Method

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940

Greatest Common Factor

We found the factors 3731,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 3731,5940 is 1.

Lets's calculate LCM of 884,854

2 884, 854
442, 427

∴ So the LCM of the given numbers is 2 x 442 x 427 = 377468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377468

Therefore, the GCF of Fractions 3731/884,5940/854 is 1/377468

Least Common Multiple of 884,854 with GCF Formula

Least Common Multiple of 884,854 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 884,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,854) = 2

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

GCF(884,854) x common factors =2 x 1 = 2

LCM(884,854) = ( 884 × 854 ) / 2

LCM(884,854) = 754936 / 2

LCM(884,854) = 377468


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 3731/884, 5940/854

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 3731/884, 5940/854?

Answer: GCF of Numerators as per given numbers 3731/884, 5940/854 is

GCF of Numerators i.e. for 3731,5940 is 1

LCM of denominators i.e. for 884,854 is 377468.

Thus, GCF of Fractions is 1/377468.Finally, GCF of Fractions for 3731/884, 5940/854 is 1/377468.