Greatest Common Factor of 580/204, 800/446, 290/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 580/204, 800/446, 290/110

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 580/204,800/446,290/110

Given fractions are 580/204,800/446,290/110

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 580,800,290

Greatest Common Factor of Numerators i.e. GCF of 580,800,290 is 10 .

LCM of Denominators means LCM of 204,446,110 as per the given fractions.

LCM of 204,446,110 is 2502060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,800,290

GCF of Fractions 580/204,800/446,290/110 is 10/2502060

2 580, 800, 290
5 290, 400, 145
58, 80, 29

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 580,800,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,800,290 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 290

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

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

Greatest Common Factor

We found the factors 580,800,290 . The biggest common factor number is the GCF number.
So the greatest common factor 580,800,290 is 10.


Lets's calculate LCM of 204,446,110

2 204, 446, 110
102, 223, 55

∴ So the LCM of the given numbers is 2 x 102 x 223 x 55 = 2502060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2502060

Therefore, the GCF of Fractions 580/204,800/446,290/110 is 10/2502060

Least Common Multiple of 204,446,110 with GCF Formula

Least Common Multiple of 204,446,110 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 204,446,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,446,110) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(204,446,110) x common factors =2 x 2 = 4

LCM(204,446,110) = ( 204 × 446 × 110 ) / 4

LCM(204,446,110) = 10008240 / 4

LCM(204,446,110) = 2502060


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 580/204, 800/446, 290/110

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 580/204, 800/446, 290/110?

Answer: GCF of Numerators as per given numbers 580/204, 800/446, 290/110 is

GCF of Numerators i.e. for 580,800,290 is 10

LCM of denominators i.e. for 204,446,110 is 2502060.

Thus, GCF of Fractions is 10/2502060.Finally, GCF of Fractions for 580/204, 800/446, 290/110 is 10/2502060.