Greatest Common Factor of 229/243, 293/236, 781/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/243, 293/236, 781/531

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 229/243,293/236,781/531

Given fractions are 229/243,293/236,781/531

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 229,293,781

Greatest Common Factor of Numerators i.e. GCF of 229,293,781 is 1 .

LCM of Denominators means LCM of 243,236,531 as per the given fractions.

LCM of 243,236,531 is 57348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,293,781

GCF of Fractions 229/243,293/236,781/531 is 1/57348

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

Greatest Common Factor of 229,293,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,293,781 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 229,293,781 . The biggest common factor number is the GCF number.
So the greatest common factor 229,293,781 is 1.

Lets's calculate LCM of 243,236,531

3 243, 236, 531
3 81, 236, 177
59 27, 236, 59
27, 4, 1

∴ So the LCM of the given numbers is 3 x 3 x 59 x 27 x 4 x 1 = 57348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57348

Therefore, the GCF of Fractions 229/243,293/236,781/531 is 1/57348

Least Common Multiple of 243,236,531 with GCF Formula

Least Common Multiple of 243,236,531 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 243,236,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,236,531) = 1

common factors(in case of two or more numbers have common factors) = 531

GCF(243,236,531) x common factors =1 x 531 = 531

LCM(243,236,531) = ( 243 × 236 × 531 ) / 531

LCM(243,236,531) = 30451788 / 531

LCM(243,236,531) = 57348


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 229/243, 293/236, 781/531

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 229/243, 293/236, 781/531?

Answer: GCF of Numerators as per given numbers 229/243, 293/236, 781/531 is

GCF of Numerators i.e. for 229,293,781 is 1

LCM of denominators i.e. for 243,236,531 is 57348.

Thus, GCF of Fractions is 1/57348.Finally, GCF of Fractions for 229/243, 293/236, 781/531 is 1/57348.