Greatest Common Factor of 8343/19, 1121/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8343/19, 1121/649

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 8343/19,1121/649

Given fractions are 8343/19,1121/649

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 8343,1121

Greatest Common Factor of Numerators i.e. GCF of 8343,1121 is 1 .

LCM of Denominators means LCM of 19,649 as per the given fractions.

LCM of 19,649 is 12331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8343,1121

GCF of Fractions 8343/19,1121/649 is 1/12331

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

Greatest Common Factor of 8343,1121 By Matching Biggest Common Factor Method

Greatest Common Factor of 8343,1121 By Matching Biggest Common Factor Method

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1,3,9,27,81,103,309,927,2781,8343

Factors of 1121

List of positive integer factors of 1121 that divides 1121 without a remainder.

1,19,59,1121

Greatest Common Factor

We found the factors 8343,1121 . The biggest common factor number is the GCF number.
So the greatest common factor 8343,1121 is 1.

Lets's calculate LCM of 19,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 12331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12331

Therefore, the GCF of Fractions 8343/19,1121/649 is 1/12331

Least Common Multiple of 19,649 with GCF Formula

Least Common Multiple of 19,649 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 19,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,649) = 1

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

GCF(19,649) x common factors =1 x 1 = 1

LCM(19,649) = ( 19 × 649 ) / 1

LCM(19,649) = 12331 / 1

LCM(19,649) = 12331


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 8343/19, 1121/649

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 8343/19, 1121/649?

Answer: GCF of Numerators as per given numbers 8343/19, 1121/649 is

GCF of Numerators i.e. for 8343,1121 is 1

LCM of denominators i.e. for 19,649 is 12331.

Thus, GCF of Fractions is 1/12331.Finally, GCF of Fractions for 8343/19, 1121/649 is 1/12331.