Greatest Common Factor of 681/309, 366/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/309, 366/523

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 681/309,366/523

Given fractions are 681/309,366/523

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 681,366

Greatest Common Factor of Numerators i.e. GCF of 681,366 is 3 .

LCM of Denominators means LCM of 309,523 as per the given fractions.

LCM of 309,523 is 161607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,366

GCF of Fractions 681/309,366/523 is 3/161607

3 681, 366
227, 122

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

Greatest Common Factor of 681,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,366 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 681,366 . The biggest common factor number is the GCF number.
So the greatest common factor 681,366 is 3.

Lets's calculate LCM of 309,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 161607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/161607

Therefore, the GCF of Fractions 681/309,366/523 is 3/161607

Least Common Multiple of 309,523 with GCF Formula

Least Common Multiple of 309,523 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 309,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,523) = 1

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

GCF(309,523) x common factors =1 x 1 = 1

LCM(309,523) = ( 309 × 523 ) / 1

LCM(309,523) = 161607 / 1

LCM(309,523) = 161607


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 681/309, 366/523

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 681/309, 366/523?

Answer: GCF of Numerators as per given numbers 681/309, 366/523 is

GCF of Numerators i.e. for 681,366 is 3

LCM of denominators i.e. for 309,523 is 161607.

Thus, GCF of Fractions is 3/161607.Finally, GCF of Fractions for 681/309, 366/523 is 3/161607.