Greatest Common Factor of 656/123, 323/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 656/123, 323/159

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 656/123,323/159

Given fractions are 656/123,323/159

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 656,323

Greatest Common Factor of Numerators i.e. GCF of 656,323 is 1 .

LCM of Denominators means LCM of 123,159 as per the given fractions.

LCM of 123,159 is 6519 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 656,323

GCF of Fractions 656/123,323/159 is 1/6519

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 656,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,323 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 656,323 . The biggest common factor number is the GCF number.
So the greatest common factor 656,323 is 1.

Lets's calculate LCM of 123,159

3 123, 159
41, 53

∴ So the LCM of the given numbers is 3 x 41 x 53 = 6519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6519

Therefore, the GCF of Fractions 656/123,323/159 is 1/6519

Least Common Multiple of 123,159 with GCF Formula

Least Common Multiple of 123,159 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 123,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,159) = 3

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

GCF(123,159) x common factors =3 x 1 = 3

LCM(123,159) = ( 123 × 159 ) / 3

LCM(123,159) = 19557 / 3

LCM(123,159) = 6519


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 656/123, 323/159

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 656/123, 323/159?

Answer: GCF of Numerators as per given numbers 656/123, 323/159 is

GCF of Numerators i.e. for 656,323 is 1

LCM of denominators i.e. for 123,159 is 6519.

Thus, GCF of Fractions is 1/6519.Finally, GCF of Fractions for 656/123, 323/159 is 1/6519.