Greatest Common Factor of 3830/589, 6541/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3830/589, 6541/340

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 3830/589,6541/340

Given fractions are 3830/589,6541/340

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 3830,6541

Greatest Common Factor of Numerators i.e. GCF of 3830,6541 is 1 .

LCM of Denominators means LCM of 589,340 as per the given fractions.

LCM of 589,340 is 200260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3830,6541

GCF of Fractions 3830/589,6541/340 is 1/200260

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

Greatest Common Factor of 3830,6541 By Matching Biggest Common Factor Method

Greatest Common Factor of 3830,6541 By Matching Biggest Common Factor Method

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Factors of 6541

List of positive integer factors of 6541 that divides 6541 without a remainder.

1,31,211,6541

Greatest Common Factor

We found the factors 3830,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 3830,6541 is 1.

Lets's calculate LCM of 589,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 200260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200260

Therefore, the GCF of Fractions 3830/589,6541/340 is 1/200260

Least Common Multiple of 589,340 with GCF Formula

Least Common Multiple of 589,340 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 589,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,340) = 1

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

GCF(589,340) x common factors =1 x 1 = 1

LCM(589,340) = ( 589 × 340 ) / 1

LCM(589,340) = 200260 / 1

LCM(589,340) = 200260


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 3830/589, 6541/340

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 3830/589, 6541/340?

Answer: GCF of Numerators as per given numbers 3830/589, 6541/340 is

GCF of Numerators i.e. for 3830,6541 is 1

LCM of denominators i.e. for 589,340 is 200260.

Thus, GCF of Fractions is 1/200260.Finally, GCF of Fractions for 3830/589, 6541/340 is 1/200260.