Greatest Common Factor of 1243/54, 9331/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1243/54, 9331/489

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 1243/54,9331/489

Given fractions are 1243/54,9331/489

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 1243,9331

Greatest Common Factor of Numerators i.e. GCF of 1243,9331 is 1 .

LCM of Denominators means LCM of 54,489 as per the given fractions.

LCM of 54,489 is 8802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1243,9331

GCF of Fractions 1243/54,9331/489 is 1/8802

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

Greatest Common Factor of 1243,9331 By Matching Biggest Common Factor Method

Greatest Common Factor of 1243,9331 By Matching Biggest Common Factor Method

Factors of 1243

List of positive integer factors of 1243 that divides 1243 without a remainder.

1,11,113,1243

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1,7,31,43,217,301,1333,9331

Greatest Common Factor

We found the factors 1243,9331 . The biggest common factor number is the GCF number.
So the greatest common factor 1243,9331 is 1.

Lets's calculate LCM of 54,489

3 54, 489
18, 163

∴ So the LCM of the given numbers is 3 x 18 x 163 = 8802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8802

Therefore, the GCF of Fractions 1243/54,9331/489 is 1/8802

Least Common Multiple of 54,489 with GCF Formula

Least Common Multiple of 54,489 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 54,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,489) = 3

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

GCF(54,489) x common factors =3 x 1 = 3

LCM(54,489) = ( 54 × 489 ) / 3

LCM(54,489) = 26406 / 3

LCM(54,489) = 8802


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 1243/54, 9331/489

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 1243/54, 9331/489?

Answer: GCF of Numerators as per given numbers 1243/54, 9331/489 is

GCF of Numerators i.e. for 1243,9331 is 1

LCM of denominators i.e. for 54,489 is 8802.

Thus, GCF of Fractions is 1/8802.Finally, GCF of Fractions for 1243/54, 9331/489 is 1/8802.