Greatest Common Factor of 828/502, 181/165, 110/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 828/502, 181/165, 110/593

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 828/502,181/165,110/593

Given fractions are 828/502,181/165,110/593

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 828,181,110

Greatest Common Factor of Numerators i.e. GCF of 828,181,110 is 1 .

LCM of Denominators means LCM of 502,165,593 as per the given fractions.

LCM of 502,165,593 is 49118190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,181,110

GCF of Fractions 828/502,181/165,110/593 is 1/49118190

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

Greatest Common Factor of 828,181,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,181,110 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 828,181,110 . The biggest common factor number is the GCF number.
So the greatest common factor 828,181,110 is 1.


Lets's calculate LCM of 502,165,593

Given numbers has no common factors except 1. So, there LCM is their product i.e 49118190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49118190

Therefore, the GCF of Fractions 828/502,181/165,110/593 is 1/49118190

Least Common Multiple of 502,165,593 with GCF Formula

Least Common Multiple of 502,165,593 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 502,165,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,165,593) = 1

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

GCF(502,165,593) x common factors =1 x 1 = 1

LCM(502,165,593) = ( 502 × 165 × 593 ) / 1

LCM(502,165,593) = 49118190 / 1

LCM(502,165,593) = 49118190


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 828/502, 181/165, 110/593

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 828/502, 181/165, 110/593?

Answer: GCF of Numerators as per given numbers 828/502, 181/165, 110/593 is

GCF of Numerators i.e. for 828,181,110 is 1

LCM of denominators i.e. for 502,165,593 is 49118190.

Thus, GCF of Fractions is 1/49118190.Finally, GCF of Fractions for 828/502, 181/165, 110/593 is 1/49118190.