Greatest Common Factor of 6071/626, 5080/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6071/626, 5080/508

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 6071/626,5080/508

Given fractions are 6071/626,5080/508

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 6071,5080

Greatest Common Factor of Numerators i.e. GCF of 6071,5080 is 1 .

LCM of Denominators means LCM of 626,508 as per the given fractions.

LCM of 626,508 is 159004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6071,5080

GCF of Fractions 6071/626,5080/508 is 1/159004

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

Greatest Common Factor of 6071,5080 By Matching Biggest Common Factor Method

Greatest Common Factor of 6071,5080 By Matching Biggest Common Factor Method

Factors of 6071

List of positive integer factors of 6071 that divides 6071 without a remainder.

1,13,467,6071

Factors of 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080

Greatest Common Factor

We found the factors 6071,5080 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,5080 is 1.

Lets's calculate LCM of 626,508

2 626, 508
313, 254

∴ So the LCM of the given numbers is 2 x 313 x 254 = 159004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159004

Therefore, the GCF of Fractions 6071/626,5080/508 is 1/159004

Least Common Multiple of 626,508 with GCF Formula

Least Common Multiple of 626,508 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 626,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,508) = 2

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

GCF(626,508) x common factors =2 x 1 = 2

LCM(626,508) = ( 626 × 508 ) / 2

LCM(626,508) = 318008 / 2

LCM(626,508) = 159004


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 6071/626, 5080/508

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 6071/626, 5080/508?

Answer: GCF of Numerators as per given numbers 6071/626, 5080/508 is

GCF of Numerators i.e. for 6071,5080 is 1

LCM of denominators i.e. for 626,508 is 159004.

Thus, GCF of Fractions is 1/159004.Finally, GCF of Fractions for 6071/626, 5080/508 is 1/159004.