Greatest Common Factor of 8896/323, 2718/5361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8896/323, 2718/5361

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 8896/323,2718/5361

Given fractions are 8896/323,2718/5361

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 8896,2718

Greatest Common Factor of Numerators i.e. GCF of 8896,2718 is 2 .

LCM of Denominators means LCM of 323,5361 as per the given fractions.

LCM of 323,5361 is 1731603 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8896,2718

GCF of Fractions 8896/323,2718/5361 is 2/1731603

2 8896, 2718
4448, 1359

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8896,2718 By Matching Biggest Common Factor Method

Greatest Common Factor of 8896,2718 By Matching Biggest Common Factor Method

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors 8896,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 8896,2718 is 2.

Lets's calculate LCM of 323,5361

Given numbers has no common factors except 1. So, there LCM is their product i.e 1731603

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1731603

Therefore, the GCF of Fractions 8896/323,2718/5361 is 2/1731603

Least Common Multiple of 323,5361 with GCF Formula

Least Common Multiple of 323,5361 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 323,5361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,5361) = 1

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

GCF(323,5361) x common factors =1 x 1 = 1

LCM(323,5361) = ( 323 × 5361 ) / 1

LCM(323,5361) = 1731603 / 1

LCM(323,5361) = 1731603


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 8896/323, 2718/5361

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 8896/323, 2718/5361?

Answer: GCF of Numerators as per given numbers 8896/323, 2718/5361 is

GCF of Numerators i.e. for 8896,2718 is 2

LCM of denominators i.e. for 323,5361 is 1731603.

Thus, GCF of Fractions is 2/1731603.Finally, GCF of Fractions for 8896/323, 2718/5361 is 2/1731603.