Greatest Common Factor of 6440/682, 3694/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6440/682, 3694/878

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 6440/682,3694/878

Given fractions are 6440/682,3694/878

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 6440,3694

Greatest Common Factor of Numerators i.e. GCF of 6440,3694 is 2 .

LCM of Denominators means LCM of 682,878 as per the given fractions.

LCM of 682,878 is 299398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6440,3694

GCF of Fractions 6440/682,3694/878 is 2/299398

2 6440, 3694
3220, 1847

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6440,3694 By Matching Biggest Common Factor Method

Greatest Common Factor of 6440,3694 By Matching Biggest Common Factor Method

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Factors of 3694

List of positive integer factors of 3694 that divides 3694 without a remainder.

1,2,1847,3694

Greatest Common Factor

We found the factors 6440,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 6440,3694 is 2.

Lets's calculate LCM of 682,878

2 682, 878
341, 439

∴ So the LCM of the given numbers is 2 x 341 x 439 = 299398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299398

Therefore, the GCF of Fractions 6440/682,3694/878 is 2/299398

Least Common Multiple of 682,878 with GCF Formula

Least Common Multiple of 682,878 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 682,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,878) = 2

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

GCF(682,878) x common factors =2 x 1 = 2

LCM(682,878) = ( 682 × 878 ) / 2

LCM(682,878) = 598796 / 2

LCM(682,878) = 299398


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 6440/682, 3694/878

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 6440/682, 3694/878?

Answer: GCF of Numerators as per given numbers 6440/682, 3694/878 is

GCF of Numerators i.e. for 6440,3694 is 2

LCM of denominators i.e. for 682,878 is 299398.

Thus, GCF of Fractions is 2/299398.Finally, GCF of Fractions for 6440/682, 3694/878 is 2/299398.