Greatest Common Factor of 8813/243, 3794/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8813/243, 3794/983

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 8813/243,3794/983

Given fractions are 8813/243,3794/983

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 8813,3794

Greatest Common Factor of Numerators i.e. GCF of 8813,3794 is 7 .

LCM of Denominators means LCM of 243,983 as per the given fractions.

LCM of 243,983 is 238869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8813,3794

GCF of Fractions 8813/243,3794/983 is 7/238869

7 8813, 3794
1259, 542

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8813,3794 By Matching Biggest Common Factor Method

Greatest Common Factor of 8813,3794 By Matching Biggest Common Factor Method

Factors of 8813

List of positive integer factors of 8813 that divides 8813 without a remainder.

1,7,1259,8813

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors 8813,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 8813,3794 is 7.

Lets's calculate LCM of 243,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 238869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/238869

Therefore, the GCF of Fractions 8813/243,3794/983 is 7/238869

Least Common Multiple of 243,983 with GCF Formula

Least Common Multiple of 243,983 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 243,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,983) = 1

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

GCF(243,983) x common factors =1 x 1 = 1

LCM(243,983) = ( 243 × 983 ) / 1

LCM(243,983) = 238869 / 1

LCM(243,983) = 238869


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 8813/243, 3794/983

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 8813/243, 3794/983?

Answer: GCF of Numerators as per given numbers 8813/243, 3794/983 is

GCF of Numerators i.e. for 8813,3794 is 7

LCM of denominators i.e. for 243,983 is 238869.

Thus, GCF of Fractions is 7/238869.Finally, GCF of Fractions for 8813/243, 3794/983 is 7/238869.