Greatest Common Factor of 811/51, 675/76, 384/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/51, 675/76, 384/261

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 811/51,675/76,384/261

Given fractions are 811/51,675/76,384/261

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 811,675,384

Greatest Common Factor of Numerators i.e. GCF of 811,675,384 is 1 .

LCM of Denominators means LCM of 51,76,261 as per the given fractions.

LCM of 51,76,261 is 337212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,675,384

GCF of Fractions 811/51,675/76,384/261 is 1/337212

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

Greatest Common Factor of 811,675,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,675,384 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 811,675,384 . The biggest common factor number is the GCF number.
So the greatest common factor 811,675,384 is 1.

Lets's calculate LCM of 51,76,261

3 51, 76, 261
17, 76, 87

∴ So the LCM of the given numbers is 3 x 17 x 76 x 87 = 337212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337212

Therefore, the GCF of Fractions 811/51,675/76,384/261 is 1/337212

Least Common Multiple of 51,76,261 with GCF Formula

Least Common Multiple of 51,76,261 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 51,76,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,76,261) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,76,261) x common factors =1 x 3 = 3

LCM(51,76,261) = ( 51 × 76 × 261 ) / 3

LCM(51,76,261) = 1011636 / 3

LCM(51,76,261) = 337212


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 811/51, 675/76, 384/261

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 811/51, 675/76, 384/261?

Answer: GCF of Numerators as per given numbers 811/51, 675/76, 384/261 is

GCF of Numerators i.e. for 811,675,384 is 1

LCM of denominators i.e. for 51,76,261 is 337212.

Thus, GCF of Fractions is 1/337212.Finally, GCF of Fractions for 811/51, 675/76, 384/261 is 1/337212.