Greatest Common Factor of 1809/96, 8151/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1809/96, 8151/143

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 1809/96,8151/143

Given fractions are 1809/96,8151/143

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 1809,8151

Greatest Common Factor of Numerators i.e. GCF of 1809,8151 is 3 .

LCM of Denominators means LCM of 96,143 as per the given fractions.

LCM of 96,143 is 13728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1809,8151

GCF of Fractions 1809/96,8151/143 is 3/13728

3 1809, 8151
603, 2717

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

Greatest Common Factor of 1809,8151 By Matching Biggest Common Factor Method

Greatest Common Factor of 1809,8151 By Matching Biggest Common Factor Method

Factors of 1809

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

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

Factors of 8151

List of positive integer factors of 8151 that divides 8151 without a remainder.

1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151

Greatest Common Factor

We found the factors 1809,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 1809,8151 is 3.

Lets's calculate LCM of 96,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 13728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13728

Therefore, the GCF of Fractions 1809/96,8151/143 is 3/13728

Least Common Multiple of 96,143 with GCF Formula

Least Common Multiple of 96,143 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 96,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,143) = 1

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

GCF(96,143) x common factors =1 x 1 = 1

LCM(96,143) = ( 96 × 143 ) / 1

LCM(96,143) = 13728 / 1

LCM(96,143) = 13728


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 1809/96, 8151/143

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 1809/96, 8151/143?

Answer: GCF of Numerators as per given numbers 1809/96, 8151/143 is

GCF of Numerators i.e. for 1809,8151 is 3

LCM of denominators i.e. for 96,143 is 13728.

Thus, GCF of Fractions is 3/13728.Finally, GCF of Fractions for 1809/96, 8151/143 is 3/13728.