Greatest Common Factor of 5739/507, 2136/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5739/507, 2136/632

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 5739/507,2136/632

Given fractions are 5739/507,2136/632

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 5739,2136

Greatest Common Factor of Numerators i.e. GCF of 5739,2136 is 3 .

LCM of Denominators means LCM of 507,632 as per the given fractions.

LCM of 507,632 is 320424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5739,2136

GCF of Fractions 5739/507,2136/632 is 3/320424

3 5739, 2136
1913, 712

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

Greatest Common Factor of 5739,2136 By Matching Biggest Common Factor Method

Greatest Common Factor of 5739,2136 By Matching Biggest Common Factor Method

Factors of 5739

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

1,3,1913,5739

Factors of 2136

List of positive integer factors of 2136 that divides 2136 without a remainder.

1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136

Greatest Common Factor

We found the factors 5739,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 5739,2136 is 3.

Lets's calculate LCM of 507,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 320424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/320424

Therefore, the GCF of Fractions 5739/507,2136/632 is 3/320424

Least Common Multiple of 507,632 with GCF Formula

Least Common Multiple of 507,632 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 507,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,632) = 1

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

GCF(507,632) x common factors =1 x 1 = 1

LCM(507,632) = ( 507 × 632 ) / 1

LCM(507,632) = 320424 / 1

LCM(507,632) = 320424


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 5739/507, 2136/632

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 5739/507, 2136/632?

Answer: GCF of Numerators as per given numbers 5739/507, 2136/632 is

GCF of Numerators i.e. for 5739,2136 is 3

LCM of denominators i.e. for 507,632 is 320424.

Thus, GCF of Fractions is 3/320424.Finally, GCF of Fractions for 5739/507, 2136/632 is 3/320424.