Greatest Common Factor of 8117/113, 2493/1663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8117/113, 2493/1663

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 8117/113,2493/1663

Given fractions are 8117/113,2493/1663

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 8117,2493

Greatest Common Factor of Numerators i.e. GCF of 8117,2493 is 1 .

LCM of Denominators means LCM of 113,1663 as per the given fractions.

LCM of 113,1663 is 187919 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8117,2493

GCF of Fractions 8117/113,2493/1663 is 1/187919

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

Greatest Common Factor of 8117,2493 By Matching Biggest Common Factor Method

Greatest Common Factor of 8117,2493 By Matching Biggest Common Factor Method

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1,8117

Factors of 2493

List of positive integer factors of 2493 that divides 2493 without a remainder.

1,3,9,277,831,2493

Greatest Common Factor

We found the factors 8117,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 8117,2493 is 1.

Lets's calculate LCM of 113,1663

Given numbers has no common factors except 1. So, there LCM is their product i.e 187919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187919

Therefore, the GCF of Fractions 8117/113,2493/1663 is 1/187919

Least Common Multiple of 113,1663 with GCF Formula

Least Common Multiple of 113,1663 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 113,1663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,1663) = 1

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

GCF(113,1663) x common factors =1 x 1 = 1

LCM(113,1663) = ( 113 × 1663 ) / 1

LCM(113,1663) = 187919 / 1

LCM(113,1663) = 187919


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 8117/113, 2493/1663

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 8117/113, 2493/1663?

Answer: GCF of Numerators as per given numbers 8117/113, 2493/1663 is

GCF of Numerators i.e. for 8117,2493 is 1

LCM of denominators i.e. for 113,1663 is 187919.

Thus, GCF of Fractions is 1/187919.Finally, GCF of Fractions for 8117/113, 2493/1663 is 1/187919.