Greatest Common Factor of 580/779, 205/376, 902/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/779, 205/376, 902/961

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 580/779,205/376,902/961

Given fractions are 580/779,205/376,902/961

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 580,205,902

Greatest Common Factor of Numerators i.e. GCF of 580,205,902 is 1 .

LCM of Denominators means LCM of 779,376,961 as per the given fractions.

LCM of 779,376,961 is 281480744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,205,902

GCF of Fractions 580/779,205/376,902/961 is 1/281480744

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

Greatest Common Factor of 580,205,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,205,902 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 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 580,205,902 . The biggest common factor number is the GCF number.
So the greatest common factor 580,205,902 is 1.

Lets's calculate LCM of 779,376,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 281480744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281480744

Therefore, the GCF of Fractions 580/779,205/376,902/961 is 1/281480744

Least Common Multiple of 779,376,961 with GCF Formula

Least Common Multiple of 779,376,961 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 779,376,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,376,961) = 1

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

GCF(779,376,961) x common factors =1 x 1 = 1

LCM(779,376,961) = ( 779 × 376 × 961 ) / 1

LCM(779,376,961) = 281480744 / 1

LCM(779,376,961) = 281480744


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 580/779, 205/376, 902/961

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 580/779, 205/376, 902/961?

Answer: GCF of Numerators as per given numbers 580/779, 205/376, 902/961 is

GCF of Numerators i.e. for 580,205,902 is 1

LCM of denominators i.e. for 779,376,961 is 281480744.

Thus, GCF of Fractions is 1/281480744.Finally, GCF of Fractions for 580/779, 205/376, 902/961 is 1/281480744.