Greatest Common Factor of 6431/808, 5390/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6431/808, 5390/556

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 6431/808,5390/556

Given fractions are 6431/808,5390/556

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 6431,5390

Greatest Common Factor of Numerators i.e. GCF of 6431,5390 is 1 .

LCM of Denominators means LCM of 808,556 as per the given fractions.

LCM of 808,556 is 112312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6431,5390

GCF of Fractions 6431/808,5390/556 is 1/112312

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

Greatest Common Factor of 6431,5390 By Matching Biggest Common Factor Method

Greatest Common Factor of 6431,5390 By Matching Biggest Common Factor Method

Factors of 6431

List of positive integer factors of 6431 that divides 6431 without a remainder.

1,59,109,6431

Factors of 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Greatest Common Factor

We found the factors 6431,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 6431,5390 is 1.

Lets's calculate LCM of 808,556

2 808, 556
2 404, 278
202, 139

∴ So the LCM of the given numbers is 2 x 2 x 202 x 139 = 112312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112312

Therefore, the GCF of Fractions 6431/808,5390/556 is 1/112312

Least Common Multiple of 808,556 with GCF Formula

Least Common Multiple of 808,556 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 808,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,556) = 4

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

GCF(808,556) x common factors =4 x 1 = 4

LCM(808,556) = ( 808 × 556 ) / 4

LCM(808,556) = 449248 / 4

LCM(808,556) = 112312


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 6431/808, 5390/556

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 6431/808, 5390/556?

Answer: GCF of Numerators as per given numbers 6431/808, 5390/556 is

GCF of Numerators i.e. for 6431,5390 is 1

LCM of denominators i.e. for 808,556 is 112312.

Thus, GCF of Fractions is 1/112312.Finally, GCF of Fractions for 6431/808, 5390/556 is 1/112312.