Greatest Common Factor of 123/561, 438/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/561, 438/618

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 123/561,438/618

Given fractions are 123/561,438/618

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 123,438

Greatest Common Factor of Numerators i.e. GCF of 123,438 is 3 .

LCM of Denominators means LCM of 561,618 as per the given fractions.

LCM of 561,618 is 115566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,438

GCF of Fractions 123/561,438/618 is 3/115566

3 123, 438
41, 146

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

Greatest Common Factor of 123,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,438 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 123,438 . The biggest common factor number is the GCF number.
So the greatest common factor 123,438 is 3.

Lets's calculate LCM of 561,618

3 561, 618
187, 206

∴ So the LCM of the given numbers is 3 x 187 x 206 = 115566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115566

Therefore, the GCF of Fractions 123/561,438/618 is 3/115566

Least Common Multiple of 561,618 with GCF Formula

Least Common Multiple of 561,618 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 561,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,618) = 3

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

GCF(561,618) x common factors =3 x 1 = 3

LCM(561,618) = ( 561 × 618 ) / 3

LCM(561,618) = 346698 / 3

LCM(561,618) = 115566


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 123/561, 438/618

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 123/561, 438/618?

Answer: GCF of Numerators as per given numbers 123/561, 438/618 is

GCF of Numerators i.e. for 123,438 is 3

LCM of denominators i.e. for 561,618 is 115566.

Thus, GCF of Fractions is 3/115566.Finally, GCF of Fractions for 123/561, 438/618 is 3/115566.