Greatest Common Factor of 8096/510, 1173/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8096/510, 1173/363

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 8096/510,1173/363

Given fractions are 8096/510,1173/363

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 8096,1173

Greatest Common Factor of Numerators i.e. GCF of 8096,1173 is 23 .

LCM of Denominators means LCM of 510,363 as per the given fractions.

LCM of 510,363 is 61710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8096,1173

GCF of Fractions 8096/510,1173/363 is 23/61710

23 8096, 1173
352, 51

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8096,1173 By Matching Biggest Common Factor Method

Greatest Common Factor of 8096,1173 By Matching Biggest Common Factor Method

Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1,3,17,23,51,69,391,1173

Greatest Common Factor

We found the factors 8096,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 8096,1173 is 23.

Lets's calculate LCM of 510,363

3 510, 363
170, 121

∴ So the LCM of the given numbers is 3 x 170 x 121 = 61710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/61710

Therefore, the GCF of Fractions 8096/510,1173/363 is 23/61710

Least Common Multiple of 510,363 with GCF Formula

Least Common Multiple of 510,363 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 510,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,363) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(510,363) x common factors =3 x 1 = 3

LCM(510,363) = ( 510 × 363 ) / 3

LCM(510,363) = 185130 / 3

LCM(510,363) = 61710


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 8096/510, 1173/363

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 8096/510, 1173/363?

Answer: GCF of Numerators as per given numbers 8096/510, 1173/363 is

GCF of Numerators i.e. for 8096,1173 is 23

LCM of denominators i.e. for 510,363 is 61710.

Thus, GCF of Fractions is 23/61710.Finally, GCF of Fractions for 8096/510, 1173/363 is 23/61710.