Greatest Common Factor of 8502/51, 5739/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8502/51, 5739/920

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 8502/51,5739/920

Given fractions are 8502/51,5739/920

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 8502,5739

Greatest Common Factor of Numerators i.e. GCF of 8502,5739 is 3 .

LCM of Denominators means LCM of 51,920 as per the given fractions.

LCM of 51,920 is 46920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8502,5739

GCF of Fractions 8502/51,5739/920 is 3/46920

3 8502, 5739
2834, 1913

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8502,5739 By Matching Biggest Common Factor Method

Greatest Common Factor of 8502,5739 By Matching Biggest Common Factor Method

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1,3,1913,5739

Greatest Common Factor

We found the factors 8502,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 8502,5739 is 3.

Lets's calculate LCM of 51,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 46920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46920

Therefore, the GCF of Fractions 8502/51,5739/920 is 3/46920

Least Common Multiple of 51,920 with GCF Formula

Least Common Multiple of 51,920 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 51,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,920) = 1

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

GCF(51,920) x common factors =1 x 1 = 1

LCM(51,920) = ( 51 × 920 ) / 1

LCM(51,920) = 46920 / 1

LCM(51,920) = 46920


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 8502/51, 5739/920

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 8502/51, 5739/920?

Answer: GCF of Numerators as per given numbers 8502/51, 5739/920 is

GCF of Numerators i.e. for 8502,5739 is 3

LCM of denominators i.e. for 51,920 is 46920.

Thus, GCF of Fractions is 3/46920.Finally, GCF of Fractions for 8502/51, 5739/920 is 3/46920.