Greatest Common Factor of 27/566, 471/327, 827/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/566, 471/327, 827/575

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 27/566,471/327,827/575

Given fractions are 27/566,471/327,827/575

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 27,471,827

Greatest Common Factor of Numerators i.e. GCF of 27,471,827 is 1 .

LCM of Denominators means LCM of 566,327,575 as per the given fractions.

LCM of 566,327,575 is 106422150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,471,827

GCF of Fractions 27/566,471/327,827/575 is 1/106422150

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

Greatest Common Factor of 27,471,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,471,827 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 27,471,827 . The biggest common factor number is the GCF number.
So the greatest common factor 27,471,827 is 1.

Lets's calculate LCM of 566,327,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 106422150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106422150

Therefore, the GCF of Fractions 27/566,471/327,827/575 is 1/106422150

Least Common Multiple of 566,327,575 with GCF Formula

Least Common Multiple of 566,327,575 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 566,327,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,327,575) = 1

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

GCF(566,327,575) x common factors =1 x 1 = 1

LCM(566,327,575) = ( 566 × 327 × 575 ) / 1

LCM(566,327,575) = 106422150 / 1

LCM(566,327,575) = 106422150


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 27/566, 471/327, 827/575

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 27/566, 471/327, 827/575?

Answer: GCF of Numerators as per given numbers 27/566, 471/327, 827/575 is

GCF of Numerators i.e. for 27,471,827 is 1

LCM of denominators i.e. for 566,327,575 is 106422150.

Thus, GCF of Fractions is 1/106422150.Finally, GCF of Fractions for 27/566, 471/327, 827/575 is 1/106422150.