LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 259/54, 227/327

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 259/54, 227/327 i.e 1/5886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 259/54, 227/327.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 259/54,227/327?

Given fractions are 259/54,227/327

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 259/54,227/327, numerators are 259,227

Denominators are 54,327

The GCF of 259,227 is 1 .

LCM of 54,327 is 5886.

The greatest common factor of 259/54,227/327 = [GCF of 259,227]/[LCM of 54,327]= 1/5886

Therefore, the GCF of 259/54,227/327 is 1/5886.

Greatest Common Factor of 259,227

To find the highest common factor of 259,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 259 are 1, 7, 37, 259

The factors of 227 are 1, 227

The HCF of 259,227 is 1.

Lets's calculate GCF of 259,227

Greatest Common Factor (GCF) of 259,227 By Common Division

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

Greatest Common Factor of 259,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,227 By Matching Biggest Common Factor Method

Now, list down the factors of 259

:

1,7,37,259

Now, list down the factors of 227

:

1,227

Greatest Common Factor

We found the factors 259,227 . The biggest common factor number is the GCF number.
So the greatest common factor 259,227 is 1.

Lets's calculate LCM of 54,327

Lowest Common Multiple of 54,327 using Common Division

3 54, 327
18, 109

∴ So the LCM of the given numbers is 3 x 18 x 109 = 5886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5886

Therefore, the GCF of Fractions 259/54,227/327 is 1/5886

Least Common Multiple of 54,327 with GCF Formula

Least Common Multiple of 54,327 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 54,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,327) = 3

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

GCF(54,327) x common factors =3 x 1 = 3

LCM(54,327) = ( 54 × 327 ) / 3

LCM(54,327) = 17658 / 3

LCM(54,327) = 5886


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 259/54, 227/327

1. What is the HCF of 259,227?

The HCF of 259,227 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 259/54, 227/327?

Answer: GCF of Numerators as per given numbers 259/54, 227/327 is

GCF of Numerators i.e. for 259,227 is 1

LCM of denominators i.e. for 54,327 is 5886.

Thus, GCF of Fractions is 1/5886.Finally, GCF of Fractions for 259/54, 227/327 is 1/5886.