Greatest Common Factor of 573/415, 200/189, 253/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/415, 200/189, 253/679

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 573/415,200/189,253/679

Given fractions are 573/415,200/189,253/679

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 573,200,253

Greatest Common Factor of Numerators i.e. GCF of 573,200,253 is 1 .

LCM of Denominators means LCM of 415,189,679 as per the given fractions.

LCM of 415,189,679 is 7608195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,200,253

GCF of Fractions 573/415,200/189,253/679 is 1/7608195

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

Greatest Common Factor of 573,200,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,200,253 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 573,200,253 . The biggest common factor number is the GCF number.
So the greatest common factor 573,200,253 is 1.

Lets's calculate LCM of 415,189,679

7 415, 189, 679
415, 27, 97

∴ So the LCM of the given numbers is 7 x 415 x 27 x 97 = 7608195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7608195

Therefore, the GCF of Fractions 573/415,200/189,253/679 is 1/7608195

Least Common Multiple of 415,189,679 with GCF Formula

Least Common Multiple of 415,189,679 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 415,189,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,189,679) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(415,189,679) x common factors =1 x 7 = 7

LCM(415,189,679) = ( 415 × 189 × 679 ) / 7

LCM(415,189,679) = 53257365 / 7

LCM(415,189,679) = 7608195


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 573/415, 200/189, 253/679

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 573/415, 200/189, 253/679?

Answer: GCF of Numerators as per given numbers 573/415, 200/189, 253/679 is

GCF of Numerators i.e. for 573,200,253 is 1

LCM of denominators i.e. for 415,189,679 is 7608195.

Thus, GCF of Fractions is 1/7608195.Finally, GCF of Fractions for 573/415, 200/189, 253/679 is 1/7608195.