Greatest Common Factor of 573/221, 735/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/221, 735/849

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 573/221,735/849

Given fractions are 573/221,735/849

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 573,735

Greatest Common Factor of Numerators i.e. GCF of 573,735 is 3 .

LCM of Denominators means LCM of 221,849 as per the given fractions.

LCM of 221,849 is 187629 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,735

GCF of Fractions 573/221,735/849 is 3/187629

3 573, 735
191, 245

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

Greatest Common Factor of 573,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,735 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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 573,735 . The biggest common factor number is the GCF number.
So the greatest common factor 573,735 is 3.

Lets's calculate LCM of 221,849

Given numbers has no common factors except 1. So, there LCM is their product i.e 187629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187629

Therefore, the GCF of Fractions 573/221,735/849 is 3/187629

Least Common Multiple of 221,849 with GCF Formula

Least Common Multiple of 221,849 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 221,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,849) = 1

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

GCF(221,849) x common factors =1 x 1 = 1

LCM(221,849) = ( 221 × 849 ) / 1

LCM(221,849) = 187629 / 1

LCM(221,849) = 187629


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 573/221, 735/849

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 573/221, 735/849?

Answer: GCF of Numerators as per given numbers 573/221, 735/849 is

GCF of Numerators i.e. for 573,735 is 3

LCM of denominators i.e. for 221,849 is 187629.

Thus, GCF of Fractions is 3/187629.Finally, GCF of Fractions for 573/221, 735/849 is 3/187629.