Greatest Common Factor of 8193/960, 7896/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8193/960, 7896/815

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 8193/960,7896/815

Given fractions are 8193/960,7896/815

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 8193,7896

Greatest Common Factor of Numerators i.e. GCF of 8193,7896 is 3 .

LCM of Denominators means LCM of 960,815 as per the given fractions.

LCM of 960,815 is 156480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8193,7896

GCF of Fractions 8193/960,7896/815 is 3/156480

3 8193, 7896
2731, 2632

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8193,7896 By Matching Biggest Common Factor Method

Greatest Common Factor of 8193,7896 By Matching Biggest Common Factor Method

Factors of 8193

List of positive integer factors of 8193 that divides 8193 without a remainder.

1,3,2731,8193

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896

Greatest Common Factor

We found the factors 8193,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 8193,7896 is 3.

Lets's calculate LCM of 960,815

5 960, 815
192, 163

∴ So the LCM of the given numbers is 5 x 192 x 163 = 156480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156480

Therefore, the GCF of Fractions 8193/960,7896/815 is 3/156480

Least Common Multiple of 960,815 with GCF Formula

Least Common Multiple of 960,815 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 960,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,815) = 5

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

GCF(960,815) x common factors =5 x 1 = 5

LCM(960,815) = ( 960 × 815 ) / 5

LCM(960,815) = 782400 / 5

LCM(960,815) = 156480


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 8193/960, 7896/815

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 8193/960, 7896/815?

Answer: GCF of Numerators as per given numbers 8193/960, 7896/815 is

GCF of Numerators i.e. for 8193,7896 is 3

LCM of denominators i.e. for 960,815 is 156480.

Thus, GCF of Fractions is 3/156480.Finally, GCF of Fractions for 8193/960, 7896/815 is 3/156480.