Greatest Common Factor of 580/879, 3394/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/879, 3394/175

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 580/879,3394/175

Given fractions are 580/879,3394/175

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 580,3394

Greatest Common Factor of Numerators i.e. GCF of 580,3394 is 2 .

LCM of Denominators means LCM of 879,175 as per the given fractions.

LCM of 879,175 is 153825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,3394

GCF of Fractions 580/879,3394/175 is 2/153825

2 580, 3394
290, 1697

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 580,3394 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,3394 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 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1,2,1697,3394

Greatest Common Factor

We found the factors 580,3394 . The biggest common factor number is the GCF number.
So the greatest common factor 580,3394 is 2.

Lets's calculate LCM of 879,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 153825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153825

Therefore, the GCF of Fractions 580/879,3394/175 is 2/153825

Least Common Multiple of 879,175 with GCF Formula

Least Common Multiple of 879,175 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 879,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,175) = 1

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

GCF(879,175) x common factors =1 x 1 = 1

LCM(879,175) = ( 879 × 175 ) / 1

LCM(879,175) = 153825 / 1

LCM(879,175) = 153825


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 580/879, 3394/175

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 580/879, 3394/175?

Answer: GCF of Numerators as per given numbers 580/879, 3394/175 is

GCF of Numerators i.e. for 580,3394 is 2

LCM of denominators i.e. for 879,175 is 153825.

Thus, GCF of Fractions is 2/153825.Finally, GCF of Fractions for 580/879, 3394/175 is 2/153825.