Greatest Common Factor of 8663/309, 8097/3811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8663/309, 8097/3811

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 8663/309,8097/3811

Given fractions are 8663/309,8097/3811

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 8663,8097

Greatest Common Factor of Numerators i.e. GCF of 8663,8097 is 1 .

LCM of Denominators means LCM of 309,3811 as per the given fractions.

LCM of 309,3811 is 11433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8663,8097

GCF of Fractions 8663/309,8097/3811 is 1/11433

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

Greatest Common Factor of 8663,8097 By Matching Biggest Common Factor Method

Greatest Common Factor of 8663,8097 By Matching Biggest Common Factor Method

Factors of 8663

List of positive integer factors of 8663 that divides 8663 without a remainder.

1,8663

Factors of 8097

List of positive integer factors of 8097 that divides 8097 without a remainder.

1,3,2699,8097

Greatest Common Factor

We found the factors 8663,8097 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,8097 is 1.

Lets's calculate LCM of 309,3811

103 309, 3811
3, 37

∴ So the LCM of the given numbers is 103 x 3 x 37 = 11433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11433

Therefore, the GCF of Fractions 8663/309,8097/3811 is 1/11433

Least Common Multiple of 309,3811 with GCF Formula

Least Common Multiple of 309,3811 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 309,3811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,3811) = 103

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

GCF(309,3811) x common factors =103 x 1 = 103

LCM(309,3811) = ( 309 × 3811 ) / 103

LCM(309,3811) = 1177599 / 103

LCM(309,3811) = 11433


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 8663/309, 8097/3811

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 8663/309, 8097/3811?

Answer: GCF of Numerators as per given numbers 8663/309, 8097/3811 is

GCF of Numerators i.e. for 8663,8097 is 1

LCM of denominators i.e. for 309,3811 is 11433.

Thus, GCF of Fractions is 1/11433.Finally, GCF of Fractions for 8663/309, 8097/3811 is 1/11433.