Greatest Common Factor of 6580/239, 1344/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6580/239, 1344/289

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 6580/239,1344/289

Given fractions are 6580/239,1344/289

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 6580,1344

Greatest Common Factor of Numerators i.e. GCF of 6580,1344 is 28 .

LCM of Denominators means LCM of 239,289 as per the given fractions.

LCM of 239,289 is 69071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6580,1344

GCF of Fractions 6580/239,1344/289 is 28/69071

2 6580, 1344
2 3290, 672
7 1645, 336
235, 48

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 6580,1344 By Matching Biggest Common Factor Method

Greatest Common Factor of 6580,1344 By Matching Biggest Common Factor Method

Factors of 6580

List of positive integer factors of 6580 that divides 6580 without a remainder.

1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580

Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344

Greatest Common Factor

We found the factors 6580,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,1344 is 28.

Lets's calculate LCM of 239,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 69071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/69071

Therefore, the GCF of Fractions 6580/239,1344/289 is 28/69071

Least Common Multiple of 239,289 with GCF Formula

Least Common Multiple of 239,289 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 239,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,289) = 1

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

GCF(239,289) x common factors =1 x 1 = 1

LCM(239,289) = ( 239 × 289 ) / 1

LCM(239,289) = 69071 / 1

LCM(239,289) = 69071


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 6580/239, 1344/289

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 6580/239, 1344/289?

Answer: GCF of Numerators as per given numbers 6580/239, 1344/289 is

GCF of Numerators i.e. for 6580,1344 is 28

LCM of denominators i.e. for 239,289 is 69071.

Thus, GCF of Fractions is 28/69071.Finally, GCF of Fractions for 6580/239, 1344/289 is 28/69071.