Greatest Common Factor of 531/729, 8861/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/729, 8861/195

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 531/729,8861/195

Given fractions are 531/729,8861/195

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 531,8861

Greatest Common Factor of Numerators i.e. GCF of 531,8861 is 1 .

LCM of Denominators means LCM of 729,195 as per the given fractions.

LCM of 729,195 is 47385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,8861

GCF of Fractions 531/729,8861/195 is 1/47385

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

Greatest Common Factor of 531,8861 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,8861 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 8861

List of positive integer factors of 8861 that divides 8861 without a remainder.

1,8861

Greatest Common Factor

We found the factors 531,8861 . The biggest common factor number is the GCF number.
So the greatest common factor 531,8861 is 1.

Lets's calculate LCM of 729,195

3 729, 195
243, 65

∴ So the LCM of the given numbers is 3 x 243 x 65 = 47385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47385

Therefore, the GCF of Fractions 531/729,8861/195 is 1/47385

Least Common Multiple of 729,195 with GCF Formula

Least Common Multiple of 729,195 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 729,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,195) = 3

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

GCF(729,195) x common factors =3 x 1 = 3

LCM(729,195) = ( 729 × 195 ) / 3

LCM(729,195) = 142155 / 3

LCM(729,195) = 47385


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 531/729, 8861/195

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 531/729, 8861/195?

Answer: GCF of Numerators as per given numbers 531/729, 8861/195 is

GCF of Numerators i.e. for 531,8861 is 1

LCM of denominators i.e. for 729,195 is 47385.

Thus, GCF of Fractions is 1/47385.Finally, GCF of Fractions for 531/729, 8861/195 is 1/47385.