Greatest Common Factor of 156/230, 8409/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/230, 8409/823

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 156/230,8409/823

Given fractions are 156/230,8409/823

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 156,8409

Greatest Common Factor of Numerators i.e. GCF of 156,8409 is 3 .

LCM of Denominators means LCM of 230,823 as per the given fractions.

LCM of 230,823 is 189290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,8409

GCF of Fractions 156/230,8409/823 is 3/189290

3 156, 8409
52, 2803

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

Greatest Common Factor of 156,8409 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,8409 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1,3,2803,8409

Greatest Common Factor

We found the factors 156,8409 . The biggest common factor number is the GCF number.
So the greatest common factor 156,8409 is 3.

Lets's calculate LCM of 230,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 189290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/189290

Therefore, the GCF of Fractions 156/230,8409/823 is 3/189290

Least Common Multiple of 230,823 with GCF Formula

Least Common Multiple of 230,823 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 230,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,823) = 1

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

GCF(230,823) x common factors =1 x 1 = 1

LCM(230,823) = ( 230 × 823 ) / 1

LCM(230,823) = 189290 / 1

LCM(230,823) = 189290


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 156/230, 8409/823

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 156/230, 8409/823?

Answer: GCF of Numerators as per given numbers 156/230, 8409/823 is

GCF of Numerators i.e. for 156,8409 is 3

LCM of denominators i.e. for 230,823 is 189290.

Thus, GCF of Fractions is 3/189290.Finally, GCF of Fractions for 156/230, 8409/823 is 3/189290.