Greatest Common Factor of 2181/689, 1068/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2181/689, 1068/286

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 2181/689,1068/286

Given fractions are 2181/689,1068/286

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 2181,1068

Greatest Common Factor of Numerators i.e. GCF of 2181,1068 is 3 .

LCM of Denominators means LCM of 689,286 as per the given fractions.

LCM of 689,286 is 15158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2181,1068

GCF of Fractions 2181/689,1068/286 is 3/15158

3 2181, 1068
727, 356

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

Greatest Common Factor of 2181,1068 By Matching Biggest Common Factor Method

Greatest Common Factor of 2181,1068 By Matching Biggest Common Factor Method

Factors of 2181

List of positive integer factors of 2181 that divides 2181 without a remainder.

1,3,727,2181

Factors of 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1,2,3,4,6,12,89,178,267,356,534,1068

Greatest Common Factor

We found the factors 2181,1068 . The biggest common factor number is the GCF number.
So the greatest common factor 2181,1068 is 3.

Lets's calculate LCM of 689,286

13 689, 286
53, 22

∴ So the LCM of the given numbers is 13 x 53 x 22 = 15158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15158

Therefore, the GCF of Fractions 2181/689,1068/286 is 3/15158

Least Common Multiple of 689,286 with GCF Formula

Least Common Multiple of 689,286 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 689,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,286) = 13

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

GCF(689,286) x common factors =13 x 1 = 13

LCM(689,286) = ( 689 × 286 ) / 13

LCM(689,286) = 197054 / 13

LCM(689,286) = 15158


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 2181/689, 1068/286

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 2181/689, 1068/286?

Answer: GCF of Numerators as per given numbers 2181/689, 1068/286 is

GCF of Numerators i.e. for 2181,1068 is 3

LCM of denominators i.e. for 689,286 is 15158.

Thus, GCF of Fractions is 3/15158.Finally, GCF of Fractions for 2181/689, 1068/286 is 3/15158.