Greatest Common Factor of 520/580, 290/283, 613/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/580, 290/283, 613/676

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 520/580,290/283,613/676

Given fractions are 520/580,290/283,613/676

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 520,290,613

Greatest Common Factor of Numerators i.e. GCF of 520,290,613 is 1 .

LCM of Denominators means LCM of 580,283,676 as per the given fractions.

LCM of 580,283,676 is 27739660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,290,613

GCF of Fractions 520/580,290/283,613/676 is 1/27739660

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

Greatest Common Factor of 520,290,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,290,613 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 613

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

1,613

Greatest Common Factor

We found the factors 520,290,613 . The biggest common factor number is the GCF number.
So the greatest common factor 520,290,613 is 1.

Lets's calculate LCM of 580,283,676

2 580, 283, 676
2 290, 283, 338
145, 283, 169

∴ So the LCM of the given numbers is 2 x 2 x 145 x 283 x 169 = 27739660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27739660

Therefore, the GCF of Fractions 520/580,290/283,613/676 is 1/27739660

Least Common Multiple of 580,283,676 with GCF Formula

Least Common Multiple of 580,283,676 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 580,283,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,283,676) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(580,283,676) x common factors =1 x 4 = 4

LCM(580,283,676) = ( 580 × 283 × 676 ) / 4

LCM(580,283,676) = 110958640 / 4

LCM(580,283,676) = 27739660


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 520/580, 290/283, 613/676

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 520/580, 290/283, 613/676?

Answer: GCF of Numerators as per given numbers 520/580, 290/283, 613/676 is

GCF of Numerators i.e. for 520,290,613 is 1

LCM of denominators i.e. for 580,283,676 is 27739660.

Thus, GCF of Fractions is 1/27739660.Finally, GCF of Fractions for 520/580, 290/283, 613/676 is 1/27739660.