Greatest Common Factor of 193/58, 760/96, 823/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 193/58, 760/96, 823/51

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 193/58,760/96,823/51

Given fractions are 193/58,760/96,823/51

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 193,760,823

Greatest Common Factor of Numerators i.e. GCF of 193,760,823 is 1 .

LCM of Denominators means LCM of 58,96,51 as per the given fractions.

LCM of 58,96,51 is 47328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 193,760,823

GCF of Fractions 193/58,760/96,823/51 is 1/47328

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

Greatest Common Factor of 193,760,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,760,823 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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 193,760,823 . The biggest common factor number is the GCF number.
So the greatest common factor 193,760,823 is 1.

Lets's calculate LCM of 58,96,51

2 58, 96, 51
3 29, 48, 51
29, 16, 17

∴ So the LCM of the given numbers is 2 x 3 x 29 x 16 x 17 = 47328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47328

Therefore, the GCF of Fractions 193/58,760/96,823/51 is 1/47328

Least Common Multiple of 58,96,51 with GCF Formula

Least Common Multiple of 58,96,51 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 58,96,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,96,51) = 1

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

GCF(58,96,51) x common factors =1 x 6 = 6

LCM(58,96,51) = ( 58 × 96 × 51 ) / 6

LCM(58,96,51) = 283968 / 6

LCM(58,96,51) = 47328


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 193/58, 760/96, 823/51

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 193/58, 760/96, 823/51?

Answer: GCF of Numerators as per given numbers 193/58, 760/96, 823/51 is

GCF of Numerators i.e. for 193,760,823 is 1

LCM of denominators i.e. for 58,96,51 is 47328.

Thus, GCF of Fractions is 1/47328.Finally, GCF of Fractions for 193/58, 760/96, 823/51 is 1/47328.