Greatest Common Factor of 6806/65, 1359/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6806/65, 1359/211

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 6806/65,1359/211

Given fractions are 6806/65,1359/211

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 6806,1359

Greatest Common Factor of Numerators i.e. GCF of 6806,1359 is 1 .

LCM of Denominators means LCM of 65,211 as per the given fractions.

LCM of 65,211 is 13715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6806,1359

GCF of Fractions 6806/65,1359/211 is 1/13715

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

Greatest Common Factor of 6806,1359 By Matching Biggest Common Factor Method

Greatest Common Factor of 6806,1359 By Matching Biggest Common Factor Method

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1,2,41,82,83,166,3403,6806

Factors of 1359

List of positive integer factors of 1359 that divides 1359 without a remainder.

1,3,9,151,453,1359

Greatest Common Factor

We found the factors 6806,1359 . The biggest common factor number is the GCF number.
So the greatest common factor 6806,1359 is 1.

Lets's calculate LCM of 65,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 13715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13715

Therefore, the GCF of Fractions 6806/65,1359/211 is 1/13715

Least Common Multiple of 65,211 with GCF Formula

Least Common Multiple of 65,211 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 65,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,211) = 1

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

GCF(65,211) x common factors =1 x 1 = 1

LCM(65,211) = ( 65 × 211 ) / 1

LCM(65,211) = 13715 / 1

LCM(65,211) = 13715


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 6806/65, 1359/211

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 6806/65, 1359/211?

Answer: GCF of Numerators as per given numbers 6806/65, 1359/211 is

GCF of Numerators i.e. for 6806,1359 is 1

LCM of denominators i.e. for 65,211 is 13715.

Thus, GCF of Fractions is 1/13715.Finally, GCF of Fractions for 6806/65, 1359/211 is 1/13715.