Greatest Common Factor of 193/81, 633/51, 395/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 193/81, 633/51, 395/814

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 193/81,633/51,395/814

Given fractions are 193/81,633/51,395/814

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 193,633,395

Greatest Common Factor of Numerators i.e. GCF of 193,633,395 is 1 .

LCM of Denominators means LCM of 81,51,814 as per the given fractions.

LCM of 81,51,814 is 1120878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 193,633,395

GCF of Fractions 193/81,633/51,395/814 is 1/1120878

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

Greatest Common Factor of 193,633,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,633,395 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 193,633,395 . The biggest common factor number is the GCF number.
So the greatest common factor 193,633,395 is 1.

Lets's calculate LCM of 81,51,814

3 81, 51, 814
27, 17, 814

∴ So the LCM of the given numbers is 3 x 27 x 17 x 814 = 1120878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120878

Therefore, the GCF of Fractions 193/81,633/51,395/814 is 1/1120878

Least Common Multiple of 81,51,814 with GCF Formula

Least Common Multiple of 81,51,814 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 81,51,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,51,814) = 1

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

GCF(81,51,814) x common factors =1 x 3 = 3

LCM(81,51,814) = ( 81 × 51 × 814 ) / 3

LCM(81,51,814) = 3362634 / 3

LCM(81,51,814) = 1120878


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 193/81, 633/51, 395/814

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 193/81, 633/51, 395/814?

Answer: GCF of Numerators as per given numbers 193/81, 633/51, 395/814 is

GCF of Numerators i.e. for 193,633,395 is 1

LCM of denominators i.e. for 81,51,814 is 1120878.

Thus, GCF of Fractions is 1/1120878.Finally, GCF of Fractions for 193/81, 633/51, 395/814 is 1/1120878.