Greatest Common Factor of 744/22, 236/81, 588/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/22, 236/81, 588/243

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 744/22,236/81,588/243

Given fractions are 744/22,236/81,588/243

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 744,236,588

Greatest Common Factor of Numerators i.e. GCF of 744,236,588 is 4 .

LCM of Denominators means LCM of 22,81,243 as per the given fractions.

LCM of 22,81,243 is 5346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,236,588

GCF of Fractions 744/22,236/81,588/243 is 4/5346

2 744, 236, 588
2 372, 118, 294
186, 59, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 744,236,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,236,588 By Matching Biggest Common Factor Method

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 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 744,236,588 . The biggest common factor number is the GCF number.
So the greatest common factor 744,236,588 is 4.

Lets's calculate LCM of 22,81,243

3 22, 81, 243
3 22, 27, 81
3 22, 9, 27
3 22, 3, 9
22, 1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 22 x 1 x 3 = 5346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5346

Therefore, the GCF of Fractions 744/22,236/81,588/243 is 4/5346

Least Common Multiple of 22,81,243 with GCF Formula

Least Common Multiple of 22,81,243 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 22,81,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,81,243) = 1

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

GCF(22,81,243) x common factors =1 x 81 = 81

LCM(22,81,243) = ( 22 × 81 × 243 ) / 81

LCM(22,81,243) = 433026 / 81

LCM(22,81,243) = 5346


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 744/22, 236/81, 588/243

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 744/22, 236/81, 588/243?

Answer: GCF of Numerators as per given numbers 744/22, 236/81, 588/243 is

GCF of Numerators i.e. for 744,236,588 is 4

LCM of denominators i.e. for 22,81,243 is 5346.

Thus, GCF of Fractions is 4/5346.Finally, GCF of Fractions for 744/22, 236/81, 588/243 is 4/5346.