Greatest Common Factor of 2727/283, 2190/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2727/283, 2190/809

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 2727/283,2190/809

Given fractions are 2727/283,2190/809

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 2727,2190

Greatest Common Factor of Numerators i.e. GCF of 2727,2190 is 3 .

LCM of Denominators means LCM of 283,809 as per the given fractions.

LCM of 283,809 is 228947 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2727,2190

GCF of Fractions 2727/283,2190/809 is 3/228947

3 2727, 2190
909, 730

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

Greatest Common Factor of 2727,2190 By Matching Biggest Common Factor Method

Greatest Common Factor of 2727,2190 By Matching Biggest Common Factor Method

Factors of 2727

List of positive integer factors of 2727 that divides 2727 without a remainder.

1,3,9,27,101,303,909,2727

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Greatest Common Factor

We found the factors 2727,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 2727,2190 is 3.

Lets's calculate LCM of 283,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 228947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/228947

Therefore, the GCF of Fractions 2727/283,2190/809 is 3/228947

Least Common Multiple of 283,809 with GCF Formula

Least Common Multiple of 283,809 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 283,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,809) = 1

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

GCF(283,809) x common factors =1 x 1 = 1

LCM(283,809) = ( 283 × 809 ) / 1

LCM(283,809) = 228947 / 1

LCM(283,809) = 228947


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 2727/283, 2190/809

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 2727/283, 2190/809?

Answer: GCF of Numerators as per given numbers 2727/283, 2190/809 is

GCF of Numerators i.e. for 2727,2190 is 3

LCM of denominators i.e. for 283,809 is 228947.

Thus, GCF of Fractions is 3/228947.Finally, GCF of Fractions for 2727/283, 2190/809 is 3/228947.