Greatest Common Factor of 7246/78, 6489/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7246/78, 6489/243

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 7246/78,6489/243

Given fractions are 7246/78,6489/243

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 7246,6489

Greatest Common Factor of Numerators i.e. GCF of 7246,6489 is 1 .

LCM of Denominators means LCM of 78,243 as per the given fractions.

LCM of 78,243 is 6318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7246,6489

GCF of Fractions 7246/78,6489/243 is 1/6318

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

Greatest Common Factor of 7246,6489 By Matching Biggest Common Factor Method

Greatest Common Factor of 7246,6489 By Matching Biggest Common Factor Method

Factors of 7246

List of positive integer factors of 7246 that divides 7246 without a remainder.

1,2,3623,7246

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors 7246,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 7246,6489 is 1.

Lets's calculate LCM of 78,243

3 78, 243
26, 81

∴ So the LCM of the given numbers is 3 x 26 x 81 = 6318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6318

Therefore, the GCF of Fractions 7246/78,6489/243 is 1/6318

Least Common Multiple of 78,243 with GCF Formula

Least Common Multiple of 78,243 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 78,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,243) = 3

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

GCF(78,243) x common factors =3 x 1 = 3

LCM(78,243) = ( 78 × 243 ) / 3

LCM(78,243) = 18954 / 3

LCM(78,243) = 6318


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 7246/78, 6489/243

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 7246/78, 6489/243?

Answer: GCF of Numerators as per given numbers 7246/78, 6489/243 is

GCF of Numerators i.e. for 7246,6489 is 1

LCM of denominators i.e. for 78,243 is 6318.

Thus, GCF of Fractions is 1/6318.Finally, GCF of Fractions for 7246/78, 6489/243 is 1/6318.