Greatest Common Factor of 548/471, 7259/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/471, 7259/327

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 548/471,7259/327

Given fractions are 548/471,7259/327

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 548,7259

Greatest Common Factor of Numerators i.e. GCF of 548,7259 is 1 .

LCM of Denominators means LCM of 471,327 as per the given fractions.

LCM of 471,327 is 51339 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,7259

GCF of Fractions 548/471,7259/327 is 1/51339

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

Greatest Common Factor of 548,7259 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,7259 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 7259

List of positive integer factors of 7259 that divides 7259 without a remainder.

1,7,17,61,119,427,1037,7259

Greatest Common Factor

We found the factors 548,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 548,7259 is 1.

Lets's calculate LCM of 471,327

3 471, 327
157, 109

∴ So the LCM of the given numbers is 3 x 157 x 109 = 51339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51339

Therefore, the GCF of Fractions 548/471,7259/327 is 1/51339

Least Common Multiple of 471,327 with GCF Formula

Least Common Multiple of 471,327 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 471,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,327) = 3

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

GCF(471,327) x common factors =3 x 1 = 3

LCM(471,327) = ( 471 × 327 ) / 3

LCM(471,327) = 154017 / 3

LCM(471,327) = 51339


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 548/471, 7259/327

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 548/471, 7259/327?

Answer: GCF of Numerators as per given numbers 548/471, 7259/327 is

GCF of Numerators i.e. for 548,7259 is 1

LCM of denominators i.e. for 471,327 is 51339.

Thus, GCF of Fractions is 1/51339.Finally, GCF of Fractions for 548/471, 7259/327 is 1/51339.