Greatest Common Factor of 8510/765, 2339/5439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8510/765, 2339/5439

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 8510/765,2339/5439

Given fractions are 8510/765,2339/5439

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 8510,2339

Greatest Common Factor of Numerators i.e. GCF of 8510,2339 is 1 .

LCM of Denominators means LCM of 765,5439 as per the given fractions.

LCM of 765,5439 is 1386945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8510,2339

GCF of Fractions 8510/765,2339/5439 is 1/1386945

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

Greatest Common Factor of 8510,2339 By Matching Biggest Common Factor Method

Greatest Common Factor of 8510,2339 By Matching Biggest Common Factor Method

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Factors of 2339

List of positive integer factors of 2339 that divides 2339 without a remainder.

1,2339

Greatest Common Factor

We found the factors 8510,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,2339 is 1.

Lets's calculate LCM of 765,5439

3 765, 5439
255, 1813

∴ So the LCM of the given numbers is 3 x 255 x 1813 = 1386945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386945

Therefore, the GCF of Fractions 8510/765,2339/5439 is 1/1386945

Least Common Multiple of 765,5439 with GCF Formula

Least Common Multiple of 765,5439 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 765,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,5439) = 3

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

GCF(765,5439) x common factors =3 x 1 = 3

LCM(765,5439) = ( 765 × 5439 ) / 3

LCM(765,5439) = 4160835 / 3

LCM(765,5439) = 1386945


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 8510/765, 2339/5439

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 8510/765, 2339/5439?

Answer: GCF of Numerators as per given numbers 8510/765, 2339/5439 is

GCF of Numerators i.e. for 8510,2339 is 1

LCM of denominators i.e. for 765,5439 is 1386945.

Thus, GCF of Fractions is 1/1386945.Finally, GCF of Fractions for 8510/765, 2339/5439 is 1/1386945.