Greatest Common Factor of 5323/945, 7872/4339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5323/945, 7872/4339

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 5323/945,7872/4339

Given fractions are 5323/945,7872/4339

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 5323,7872

Greatest Common Factor of Numerators i.e. GCF of 5323,7872 is 1 .

LCM of Denominators means LCM of 945,4339 as per the given fractions.

LCM of 945,4339 is 4100355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5323,7872

GCF of Fractions 5323/945,7872/4339 is 1/4100355

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

Greatest Common Factor of 5323,7872 By Matching Biggest Common Factor Method

Greatest Common Factor of 5323,7872 By Matching Biggest Common Factor Method

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1,5323

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Greatest Common Factor

We found the factors 5323,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 5323,7872 is 1.

Lets's calculate LCM of 945,4339

Given numbers has no common factors except 1. So, there LCM is their product i.e 4100355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4100355

Therefore, the GCF of Fractions 5323/945,7872/4339 is 1/4100355

Least Common Multiple of 945,4339 with GCF Formula

Least Common Multiple of 945,4339 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 945,4339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,4339) = 1

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

GCF(945,4339) x common factors =1 x 1 = 1

LCM(945,4339) = ( 945 × 4339 ) / 1

LCM(945,4339) = 4100355 / 1

LCM(945,4339) = 4100355


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 5323/945, 7872/4339

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 5323/945, 7872/4339?

Answer: GCF of Numerators as per given numbers 5323/945, 7872/4339 is

GCF of Numerators i.e. for 5323,7872 is 1

LCM of denominators i.e. for 945,4339 is 4100355.

Thus, GCF of Fractions is 1/4100355.Finally, GCF of Fractions for 5323/945, 7872/4339 is 1/4100355.