Greatest Common Factor of 811/51, 802/78, 198/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/51, 802/78, 198/54

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 811/51,802/78,198/54

Given fractions are 811/51,802/78,198/54

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 811,802,198

Greatest Common Factor of Numerators i.e. GCF of 811,802,198 is 1 .

LCM of Denominators means LCM of 51,78,54 as per the given fractions.

LCM of 51,78,54 is 11934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,802,198

GCF of Fractions 811/51,802/78,198/54 is 1/11934

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

Greatest Common Factor of 811,802,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,802,198 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 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 811,802,198 . The biggest common factor number is the GCF number.
So the greatest common factor 811,802,198 is 1.

Lets's calculate LCM of 51,78,54

2 51, 78, 54
3 51, 39, 27
17, 13, 9

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 9 = 11934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11934

Therefore, the GCF of Fractions 811/51,802/78,198/54 is 1/11934

Least Common Multiple of 51,78,54 with GCF Formula

Least Common Multiple of 51,78,54 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 51,78,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,78,54) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(51,78,54) x common factors =3 x 6 = 18

LCM(51,78,54) = ( 51 × 78 × 54 ) / 18

LCM(51,78,54) = 214812 / 18

LCM(51,78,54) = 11934


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, 802/78, 198/54

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, 802/78, 198/54?

Answer: GCF of Numerators as per given numbers 811/51, 802/78, 198/54 is

GCF of Numerators i.e. for 811,802,198 is 1

LCM of denominators i.e. for 51,78,54 is 11934.

Thus, GCF of Fractions is 1/11934.Finally, GCF of Fractions for 811/51, 802/78, 198/54 is 1/11934.