Greatest Common Factor of 31/17, 744/81, 141/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 31/17, 744/81, 141/243

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 31/17,744/81,141/243

Given fractions are 31/17,744/81,141/243

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 31,744,141

Greatest Common Factor of Numerators i.e. GCF of 31,744,141 is 1 .

LCM of Denominators means LCM of 17,81,243 as per the given fractions.

LCM of 17,81,243 is 4131 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,744,141

GCF of Fractions 31/17,744/81,141/243 is 1/4131

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

Greatest Common Factor of 31,744,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,744,141 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 31,744,141 . The biggest common factor number is the GCF number.
So the greatest common factor 31,744,141 is 1.


Lets's calculate LCM of 17,81,243

3 17, 81, 243
3 17, 27, 81
3 17, 9, 27
3 17, 3, 9
17, 1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 17 x 1 x 3 = 4131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4131

Therefore, the GCF of Fractions 31/17,744/81,141/243 is 1/4131

Least Common Multiple of 17,81,243 with GCF Formula

Least Common Multiple of 17,81,243 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 17,81,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,81,243) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(17,81,243) x common factors =1 x 81 = 81

LCM(17,81,243) = ( 17 × 81 × 243 ) / 81

LCM(17,81,243) = 334611 / 81

LCM(17,81,243) = 4131


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 31/17, 744/81, 141/243

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 31/17, 744/81, 141/243?

Answer: GCF of Numerators as per given numbers 31/17, 744/81, 141/243 is

GCF of Numerators i.e. for 31,744,141 is 1

LCM of denominators i.e. for 17,81,243 is 4131.

Thus, GCF of Fractions is 1/4131.Finally, GCF of Fractions for 31/17, 744/81, 141/243 is 1/4131.