Greatest Common Factor of 8565/523, 4999/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8565/523, 4999/191

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 8565/523,4999/191

Given fractions are 8565/523,4999/191

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 8565,4999

Greatest Common Factor of Numerators i.e. GCF of 8565,4999 is 1 .

LCM of Denominators means LCM of 523,191 as per the given fractions.

LCM of 523,191 is 99893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8565,4999

GCF of Fractions 8565/523,4999/191 is 1/99893

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

Greatest Common Factor of 8565,4999 By Matching Biggest Common Factor Method

Greatest Common Factor of 8565,4999 By Matching Biggest Common Factor Method

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1,4999

Greatest Common Factor

We found the factors 8565,4999 . The biggest common factor number is the GCF number.
So the greatest common factor 8565,4999 is 1.

Lets's calculate LCM of 523,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 99893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99893

Therefore, the GCF of Fractions 8565/523,4999/191 is 1/99893

Least Common Multiple of 523,191 with GCF Formula

Least Common Multiple of 523,191 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 523,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,191) = 1

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

GCF(523,191) x common factors =1 x 1 = 1

LCM(523,191) = ( 523 × 191 ) / 1

LCM(523,191) = 99893 / 1

LCM(523,191) = 99893


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 8565/523, 4999/191

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 8565/523, 4999/191?

Answer: GCF of Numerators as per given numbers 8565/523, 4999/191 is

GCF of Numerators i.e. for 8565,4999 is 1

LCM of denominators i.e. for 523,191 is 99893.

Thus, GCF of Fractions is 1/99893.Finally, GCF of Fractions for 8565/523, 4999/191 is 1/99893.