Greatest Common Factor of 8967/23, 1809/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8967/23, 1809/766

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 8967/23,1809/766

Given fractions are 8967/23,1809/766

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 8967,1809

Greatest Common Factor of Numerators i.e. GCF of 8967,1809 is 3 .

LCM of Denominators means LCM of 23,766 as per the given fractions.

LCM of 23,766 is 17618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8967,1809

GCF of Fractions 8967/23,1809/766 is 3/17618

3 8967, 1809
2989, 603

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

Greatest Common Factor of 8967,1809 By Matching Biggest Common Factor Method

Greatest Common Factor of 8967,1809 By Matching Biggest Common Factor Method

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1,3,7,21,49,61,147,183,427,1281,2989,8967

Factors of 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1,3,9,27,67,201,603,1809

Greatest Common Factor

We found the factors 8967,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 8967,1809 is 3.

Lets's calculate LCM of 23,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 17618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17618

Therefore, the GCF of Fractions 8967/23,1809/766 is 3/17618

Least Common Multiple of 23,766 with GCF Formula

Least Common Multiple of 23,766 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 23,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,766) = 1

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

GCF(23,766) x common factors =1 x 1 = 1

LCM(23,766) = ( 23 × 766 ) / 1

LCM(23,766) = 17618 / 1

LCM(23,766) = 17618


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 8967/23, 1809/766

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 8967/23, 1809/766?

Answer: GCF of Numerators as per given numbers 8967/23, 1809/766 is

GCF of Numerators i.e. for 8967,1809 is 3

LCM of denominators i.e. for 23,766 is 17618.

Thus, GCF of Fractions is 3/17618.Finally, GCF of Fractions for 8967/23, 1809/766 is 3/17618.