Greatest Common Factor of 6811/290, 7431/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6811/290, 7431/512

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 6811/290,7431/512

Given fractions are 6811/290,7431/512

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 6811,7431

Greatest Common Factor of Numerators i.e. GCF of 6811,7431 is 1 .

LCM of Denominators means LCM of 290,512 as per the given fractions.

LCM of 290,512 is 74240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6811,7431

GCF of Fractions 6811/290,7431/512 is 1/74240

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

Greatest Common Factor of 6811,7431 By Matching Biggest Common Factor Method

Greatest Common Factor of 6811,7431 By Matching Biggest Common Factor Method

Factors of 6811

List of positive integer factors of 6811 that divides 6811 without a remainder.

1,7,49,139,973,6811

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Greatest Common Factor

We found the factors 6811,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 6811,7431 is 1.

Lets's calculate LCM of 290,512

2 290, 512
145, 256

∴ So the LCM of the given numbers is 2 x 145 x 256 = 74240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74240

Therefore, the GCF of Fractions 6811/290,7431/512 is 1/74240

Least Common Multiple of 290,512 with GCF Formula

Least Common Multiple of 290,512 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 290,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,512) = 2

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

GCF(290,512) x common factors =2 x 1 = 2

LCM(290,512) = ( 290 × 512 ) / 2

LCM(290,512) = 148480 / 2

LCM(290,512) = 74240


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 6811/290, 7431/512

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 6811/290, 7431/512?

Answer: GCF of Numerators as per given numbers 6811/290, 7431/512 is

GCF of Numerators i.e. for 6811,7431 is 1

LCM of denominators i.e. for 290,512 is 74240.

Thus, GCF of Fractions is 1/74240.Finally, GCF of Fractions for 6811/290, 7431/512 is 1/74240.