Greatest Common Factor of 727/309, 5735/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/309, 5735/229

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 727/309,5735/229

Given fractions are 727/309,5735/229

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 727,5735

Greatest Common Factor of Numerators i.e. GCF of 727,5735 is 1 .

LCM of Denominators means LCM of 309,229 as per the given fractions.

LCM of 309,229 is 70761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,5735

GCF of Fractions 727/309,5735/229 is 1/70761

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

Greatest Common Factor of 727,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,5735 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 727,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 727,5735 is 1.

Lets's calculate LCM of 309,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 70761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70761

Therefore, the GCF of Fractions 727/309,5735/229 is 1/70761

Least Common Multiple of 309,229 with GCF Formula

Least Common Multiple of 309,229 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 309,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,229) = 1

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

GCF(309,229) x common factors =1 x 1 = 1

LCM(309,229) = ( 309 × 229 ) / 1

LCM(309,229) = 70761 / 1

LCM(309,229) = 70761


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 727/309, 5735/229

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 727/309, 5735/229?

Answer: GCF of Numerators as per given numbers 727/309, 5735/229 is

GCF of Numerators i.e. for 727,5735 is 1

LCM of denominators i.e. for 309,229 is 70761.

Thus, GCF of Fractions is 1/70761.Finally, GCF of Fractions for 727/309, 5735/229 is 1/70761.