Greatest Common Factor of 227/681, 4567/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 227/681, 4567/744

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 227/681,4567/744

Given fractions are 227/681,4567/744

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 227,4567

Greatest Common Factor of Numerators i.e. GCF of 227,4567 is 1 .

LCM of Denominators means LCM of 681,744 as per the given fractions.

LCM of 681,744 is 168888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 227,4567

GCF of Fractions 227/681,4567/744 is 1/168888

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

Greatest Common Factor of 227,4567 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,4567 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Greatest Common Factor

We found the factors 227,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 227,4567 is 1.

Lets's calculate LCM of 681,744

3 681, 744
227, 248

∴ So the LCM of the given numbers is 3 x 227 x 248 = 168888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168888

Therefore, the GCF of Fractions 227/681,4567/744 is 1/168888

Least Common Multiple of 681,744 with GCF Formula

Least Common Multiple of 681,744 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 681,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,744) = 3

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

GCF(681,744) x common factors =3 x 1 = 3

LCM(681,744) = ( 681 × 744 ) / 3

LCM(681,744) = 506664 / 3

LCM(681,744) = 168888


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 227/681, 4567/744

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 227/681, 4567/744?

Answer: GCF of Numerators as per given numbers 227/681, 4567/744 is

GCF of Numerators i.e. for 227,4567 is 1

LCM of denominators i.e. for 681,744 is 168888.

Thus, GCF of Fractions is 1/168888.Finally, GCF of Fractions for 227/681, 4567/744 is 1/168888.