Greatest Common Factor of 666/603, 4563/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/603, 4563/123

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 666/603,4563/123

Given fractions are 666/603,4563/123

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 666,4563

Greatest Common Factor of Numerators i.e. GCF of 666,4563 is 9 .

LCM of Denominators means LCM of 603,123 as per the given fractions.

LCM of 603,123 is 24723 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,4563

GCF of Fractions 666/603,4563/123 is 9/24723

3 666, 4563
3 222, 1521
74, 507

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 666,4563 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,4563 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 666,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 666,4563 is 9.

Lets's calculate LCM of 603,123

3 603, 123
201, 41

∴ So the LCM of the given numbers is 3 x 201 x 41 = 24723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/24723

Therefore, the GCF of Fractions 666/603,4563/123 is 9/24723

Least Common Multiple of 603,123 with GCF Formula

Least Common Multiple of 603,123 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 603,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,123) = 3

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

GCF(603,123) x common factors =3 x 1 = 3

LCM(603,123) = ( 603 × 123 ) / 3

LCM(603,123) = 74169 / 3

LCM(603,123) = 24723


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 666/603, 4563/123

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 666/603, 4563/123?

Answer: GCF of Numerators as per given numbers 666/603, 4563/123 is

GCF of Numerators i.e. for 666,4563 is 9

LCM of denominators i.e. for 603,123 is 24723.

Thus, GCF of Fractions is 9/24723.Finally, GCF of Fractions for 666/603, 4563/123 is 9/24723.