Greatest Common Factor of 5231/63, 9281/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5231/63, 9281/243

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 5231/63,9281/243

Given fractions are 5231/63,9281/243

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 5231,9281

Greatest Common Factor of Numerators i.e. GCF of 5231,9281 is 1 .

LCM of Denominators means LCM of 63,243 as per the given fractions.

LCM of 63,243 is 1701 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5231,9281

GCF of Fractions 5231/63,9281/243 is 1/1701

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

Greatest Common Factor of 5231,9281 By Matching Biggest Common Factor Method

Greatest Common Factor of 5231,9281 By Matching Biggest Common Factor Method

Factors of 5231

List of positive integer factors of 5231 that divides 5231 without a remainder.

1,5231

Factors of 9281

List of positive integer factors of 9281 that divides 9281 without a remainder.

1,9281

Greatest Common Factor

We found the factors 5231,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 5231,9281 is 1.

Lets's calculate LCM of 63,243

3 63, 243
3 21, 81
7, 27

∴ So the LCM of the given numbers is 3 x 3 x 7 x 27 = 1701

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1701

Therefore, the GCF of Fractions 5231/63,9281/243 is 1/1701

Least Common Multiple of 63,243 with GCF Formula

Least Common Multiple of 63,243 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 63,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,243) = 9

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

GCF(63,243) x common factors =9 x 1 = 9

LCM(63,243) = ( 63 × 243 ) / 9

LCM(63,243) = 15309 / 9

LCM(63,243) = 1701


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 5231/63, 9281/243

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 5231/63, 9281/243?

Answer: GCF of Numerators as per given numbers 5231/63, 9281/243 is

GCF of Numerators i.e. for 5231,9281 is 1

LCM of denominators i.e. for 63,243 is 1701.

Thus, GCF of Fractions is 1/1701.Finally, GCF of Fractions for 5231/63, 9281/243 is 1/1701.