Greatest Common Factor of 613/626, 982/516, 494/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/626, 982/516, 494/860

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 613/626,982/516,494/860

Given fractions are 613/626,982/516,494/860

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 613,982,494

Greatest Common Factor of Numerators i.e. GCF of 613,982,494 is 1 .

LCM of Denominators means LCM of 626,516,860 as per the given fractions.

LCM of 626,516,860 is 807540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,982,494

GCF of Fractions 613/626,982/516,494/860 is 1/807540

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

Greatest Common Factor of 613,982,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,982,494 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 613,982,494 . The biggest common factor number is the GCF number.
So the greatest common factor 613,982,494 is 1.

Lets's calculate LCM of 626,516,860

2 626, 516, 860
2 313, 258, 430
43 313, 129, 215
313, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 43 x 313 x 3 x 5 = 807540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807540

Therefore, the GCF of Fractions 613/626,982/516,494/860 is 1/807540

Least Common Multiple of 626,516,860 with GCF Formula

Least Common Multiple of 626,516,860 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 626,516,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,516,860) = 2

common factors(in case of two or more numbers have common factors) = 172

GCF(626,516,860) x common factors =2 x 172 = 344

LCM(626,516,860) = ( 626 × 516 × 860 ) / 344

LCM(626,516,860) = 277793760 / 344

LCM(626,516,860) = 807540


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 613/626, 982/516, 494/860

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 613/626, 982/516, 494/860?

Answer: GCF of Numerators as per given numbers 613/626, 982/516, 494/860 is

GCF of Numerators i.e. for 613,982,494 is 1

LCM of denominators i.e. for 626,516,860 is 807540.

Thus, GCF of Fractions is 1/807540.Finally, GCF of Fractions for 613/626, 982/516, 494/860 is 1/807540.