Greatest Common Factor of 360/249, 8111/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/249, 8111/729

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 360/249,8111/729

Given fractions are 360/249,8111/729

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 360,8111

Greatest Common Factor of Numerators i.e. GCF of 360,8111 is 1 .

LCM of Denominators means LCM of 249,729 as per the given fractions.

LCM of 249,729 is 60507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,8111

GCF of Fractions 360/249,8111/729 is 1/60507

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

Greatest Common Factor of 360,8111 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,8111 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 8111

List of positive integer factors of 8111 that divides 8111 without a remainder.

1,8111

Greatest Common Factor

We found the factors 360,8111 . The biggest common factor number is the GCF number.
So the greatest common factor 360,8111 is 1.

Lets's calculate LCM of 249,729

3 249, 729
83, 243

∴ So the LCM of the given numbers is 3 x 83 x 243 = 60507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60507

Therefore, the GCF of Fractions 360/249,8111/729 is 1/60507

Least Common Multiple of 249,729 with GCF Formula

Least Common Multiple of 249,729 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 249,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,729) = 3

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

GCF(249,729) x common factors =3 x 1 = 3

LCM(249,729) = ( 249 × 729 ) / 3

LCM(249,729) = 181521 / 3

LCM(249,729) = 60507


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 360/249, 8111/729

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 360/249, 8111/729?

Answer: GCF of Numerators as per given numbers 360/249, 8111/729 is

GCF of Numerators i.e. for 360,8111 is 1

LCM of denominators i.e. for 249,729 is 60507.

Thus, GCF of Fractions is 1/60507.Finally, GCF of Fractions for 360/249, 8111/729 is 1/60507.