Greatest Common Factor of 500/23, 283/57, 556/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/23, 283/57, 556/73

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 500/23,283/57,556/73

Given fractions are 500/23,283/57,556/73

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 500,283,556

Greatest Common Factor of Numerators i.e. GCF of 500,283,556 is 1 .

LCM of Denominators means LCM of 23,57,73 as per the given fractions.

LCM of 23,57,73 is 95703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,283,556

GCF of Fractions 500/23,283/57,556/73 is 1/95703

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

Greatest Common Factor of 500,283,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,283,556 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 500,283,556 . The biggest common factor number is the GCF number.
So the greatest common factor 500,283,556 is 1.

Lets's calculate LCM of 23,57,73

Given numbers has no common factors except 1. So, there LCM is their product i.e 95703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95703

Therefore, the GCF of Fractions 500/23,283/57,556/73 is 1/95703

Least Common Multiple of 23,57,73 with GCF Formula

Least Common Multiple of 23,57,73 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 23,57,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,57,73) = 1

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

GCF(23,57,73) x common factors =1 x 1 = 1

LCM(23,57,73) = ( 23 × 57 × 73 ) / 1

LCM(23,57,73) = 95703 / 1

LCM(23,57,73) = 95703


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 500/23, 283/57, 556/73

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 500/23, 283/57, 556/73?

Answer: GCF of Numerators as per given numbers 500/23, 283/57, 556/73 is

GCF of Numerators i.e. for 500,283,556 is 1

LCM of denominators i.e. for 23,57,73 is 95703.

Thus, GCF of Fractions is 1/95703.Finally, GCF of Fractions for 500/23, 283/57, 556/73 is 1/95703.