Greatest Common Factor of 6140/513, 5440/1689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6140/513, 5440/1689

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 6140/513,5440/1689

Given fractions are 6140/513,5440/1689

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 6140,5440

Greatest Common Factor of Numerators i.e. GCF of 6140,5440 is 20 .

LCM of Denominators means LCM of 513,1689 as per the given fractions.

LCM of 513,1689 is 288819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6140,5440

GCF of Fractions 6140/513,5440/1689 is 20/288819

2 6140, 5440
2 3070, 2720
5 1535, 1360
307, 272

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 6140,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 6140,5440 By Matching Biggest Common Factor Method

Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1,2,4,5,10,20,307,614,1228,1535,3070,6140

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 6140,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 6140,5440 is 20.

Lets's calculate LCM of 513,1689

3 513, 1689
171, 563

∴ So the LCM of the given numbers is 3 x 171 x 563 = 288819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/288819

Therefore, the GCF of Fractions 6140/513,5440/1689 is 20/288819

Least Common Multiple of 513,1689 with GCF Formula

Least Common Multiple of 513,1689 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 513,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,1689) = 3

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

GCF(513,1689) x common factors =3 x 1 = 3

LCM(513,1689) = ( 513 × 1689 ) / 3

LCM(513,1689) = 866457 / 3

LCM(513,1689) = 288819


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 6140/513, 5440/1689

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 6140/513, 5440/1689?

Answer: GCF of Numerators as per given numbers 6140/513, 5440/1689 is

GCF of Numerators i.e. for 6140,5440 is 20

LCM of denominators i.e. for 513,1689 is 288819.

Thus, GCF of Fractions is 20/288819.Finally, GCF of Fractions for 6140/513, 5440/1689 is 20/288819.