Greatest Common Factor of 504/98, 111/81, 729/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/98, 111/81, 729/382

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 504/98,111/81,729/382

Given fractions are 504/98,111/81,729/382

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 504,111,729

Greatest Common Factor of Numerators i.e. GCF of 504,111,729 is 3 .

LCM of Denominators means LCM of 98,81,382 as per the given fractions.

LCM of 98,81,382 is 1516158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,111,729

GCF of Fractions 504/98,111/81,729/382 is 3/1516158

3 504, 111, 729
168, 37, 243

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 504,111,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,111,729 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 504,111,729 . The biggest common factor number is the GCF number.
So the greatest common factor 504,111,729 is 3.

Lets's calculate LCM of 98,81,382

2 98, 81, 382
49, 81, 191

∴ So the LCM of the given numbers is 2 x 49 x 81 x 191 = 1516158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1516158

Therefore, the GCF of Fractions 504/98,111/81,729/382 is 3/1516158

Least Common Multiple of 98,81,382 with GCF Formula

Least Common Multiple of 98,81,382 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 98,81,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,81,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,81,382) x common factors =1 x 2 = 2

LCM(98,81,382) = ( 98 × 81 × 382 ) / 2

LCM(98,81,382) = 3032316 / 2

LCM(98,81,382) = 1516158


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 504/98, 111/81, 729/382

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 504/98, 111/81, 729/382?

Answer: GCF of Numerators as per given numbers 504/98, 111/81, 729/382 is

GCF of Numerators i.e. for 504,111,729 is 3

LCM of denominators i.e. for 98,81,382 is 1516158.

Thus, GCF of Fractions is 3/1516158.Finally, GCF of Fractions for 504/98, 111/81, 729/382 is 3/1516158.