Greatest Common Factor of 9505/273, 7447/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9505/273, 7447/243

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 9505/273,7447/243

Given fractions are 9505/273,7447/243

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 9505,7447

Greatest Common Factor of Numerators i.e. GCF of 9505,7447 is 1 .

LCM of Denominators means LCM of 273,243 as per the given fractions.

LCM of 273,243 is 22113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9505,7447

GCF of Fractions 9505/273,7447/243 is 1/22113

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

Greatest Common Factor of 9505,7447 By Matching Biggest Common Factor Method

Greatest Common Factor of 9505,7447 By Matching Biggest Common Factor Method

Factors of 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1,5,1901,9505

Factors of 7447

List of positive integer factors of 7447 that divides 7447 without a remainder.

1,11,677,7447

Greatest Common Factor

We found the factors 9505,7447 . The biggest common factor number is the GCF number.
So the greatest common factor 9505,7447 is 1.

Lets's calculate LCM of 273,243

3 273, 243
91, 81

∴ So the LCM of the given numbers is 3 x 91 x 81 = 22113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22113

Therefore, the GCF of Fractions 9505/273,7447/243 is 1/22113

Least Common Multiple of 273,243 with GCF Formula

Least Common Multiple of 273,243 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 273,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,243) = 3

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

GCF(273,243) x common factors =3 x 1 = 3

LCM(273,243) = ( 273 × 243 ) / 3

LCM(273,243) = 66339 / 3

LCM(273,243) = 22113


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 9505/273, 7447/243

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 9505/273, 7447/243?

Answer: GCF of Numerators as per given numbers 9505/273, 7447/243 is

GCF of Numerators i.e. for 9505,7447 is 1

LCM of denominators i.e. for 273,243 is 22113.

Thus, GCF of Fractions is 1/22113.Finally, GCF of Fractions for 9505/273, 7447/243 is 1/22113.