Greatest Common Factor of 384/95, 193/44, 117/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/95, 193/44, 117/790

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 384/95,193/44,117/790

Given fractions are 384/95,193/44,117/790

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 384,193,117

Greatest Common Factor of Numerators i.e. GCF of 384,193,117 is 1 .

LCM of Denominators means LCM of 95,44,790 as per the given fractions.

LCM of 95,44,790 is 330220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,193,117

GCF of Fractions 384/95,193/44,117/790 is 1/330220

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

Greatest Common Factor of 384,193,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,193,117 By Matching Biggest Common Factor Method

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

Factors of 193

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

1,193

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 384,193,117 . The biggest common factor number is the GCF number.
So the greatest common factor 384,193,117 is 1.

Lets's calculate LCM of 95,44,790

2 95, 44, 790
5 95, 22, 395
19, 22, 79

∴ So the LCM of the given numbers is 2 x 5 x 19 x 22 x 79 = 330220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330220

Therefore, the GCF of Fractions 384/95,193/44,117/790 is 1/330220

Least Common Multiple of 95,44,790 with GCF Formula

Least Common Multiple of 95,44,790 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 95,44,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,44,790) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,44,790) x common factors =1 x 10 = 10

LCM(95,44,790) = ( 95 × 44 × 790 ) / 10

LCM(95,44,790) = 3302200 / 10

LCM(95,44,790) = 330220


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 384/95, 193/44, 117/790

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 384/95, 193/44, 117/790?

Answer: GCF of Numerators as per given numbers 384/95, 193/44, 117/790 is

GCF of Numerators i.e. for 384,193,117 is 1

LCM of denominators i.e. for 95,44,790 is 330220.

Thus, GCF of Fractions is 1/330220.Finally, GCF of Fractions for 384/95, 193/44, 117/790 is 1/330220.