Greatest Common Factor of 1312/580, 7291/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1312/580, 7291/430

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 1312/580,7291/430

Given fractions are 1312/580,7291/430

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 1312,7291

Greatest Common Factor of Numerators i.e. GCF of 1312,7291 is 1 .

LCM of Denominators means LCM of 580,430 as per the given fractions.

LCM of 580,430 is 24940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1312,7291

GCF of Fractions 1312/580,7291/430 is 1/24940

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

Greatest Common Factor of 1312,7291 By Matching Biggest Common Factor Method

Greatest Common Factor of 1312,7291 By Matching Biggest Common Factor Method

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1,2,4,8,16,32,41,82,164,328,656,1312

Factors of 7291

List of positive integer factors of 7291 that divides 7291 without a remainder.

1,23,317,7291

Greatest Common Factor

We found the factors 1312,7291 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,7291 is 1.

Lets's calculate LCM of 580,430

2 580, 430
5 290, 215
58, 43

∴ So the LCM of the given numbers is 2 x 5 x 58 x 43 = 24940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24940

Therefore, the GCF of Fractions 1312/580,7291/430 is 1/24940

Least Common Multiple of 580,430 with GCF Formula

Least Common Multiple of 580,430 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 580,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,430) = 10

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

GCF(580,430) x common factors =10 x 1 = 10

LCM(580,430) = ( 580 × 430 ) / 10

LCM(580,430) = 249400 / 10

LCM(580,430) = 24940


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 1312/580, 7291/430

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 1312/580, 7291/430?

Answer: GCF of Numerators as per given numbers 1312/580, 7291/430 is

GCF of Numerators i.e. for 1312,7291 is 1

LCM of denominators i.e. for 580,430 is 24940.

Thus, GCF of Fractions is 1/24940.Finally, GCF of Fractions for 1312/580, 7291/430 is 1/24940.