Greatest Common Factor of 579/23, 303/45, 663/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/23, 303/45, 663/71

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 579/23,303/45,663/71

Given fractions are 579/23,303/45,663/71

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 579,303,663

Greatest Common Factor of Numerators i.e. GCF of 579,303,663 is 3 .

LCM of Denominators means LCM of 23,45,71 as per the given fractions.

LCM of 23,45,71 is 73485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,303,663

GCF of Fractions 579/23,303/45,663/71 is 3/73485

3 579, 303, 663
193, 101, 221

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

Greatest Common Factor of 579,303,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,303,663 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 579,303,663 . The biggest common factor number is the GCF number.
So the greatest common factor 579,303,663 is 3.

Lets's calculate LCM of 23,45,71

Given numbers has no common factors except 1. So, there LCM is their product i.e 73485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73485

Therefore, the GCF of Fractions 579/23,303/45,663/71 is 3/73485

Least Common Multiple of 23,45,71 with GCF Formula

Least Common Multiple of 23,45,71 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 23,45,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,71) = 1

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

GCF(23,45,71) x common factors =1 x 1 = 1

LCM(23,45,71) = ( 23 × 45 × 71 ) / 1

LCM(23,45,71) = 73485 / 1

LCM(23,45,71) = 73485


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 579/23, 303/45, 663/71

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 579/23, 303/45, 663/71?

Answer: GCF of Numerators as per given numbers 579/23, 303/45, 663/71 is

GCF of Numerators i.e. for 579,303,663 is 3

LCM of denominators i.e. for 23,45,71 is 73485.

Thus, GCF of Fractions is 3/73485.Finally, GCF of Fractions for 579/23, 303/45, 663/71 is 3/73485.