Greatest Common Factor of 570/30, 471/28, 327/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/30, 471/28, 327/166

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 570/30,471/28,327/166

Given fractions are 570/30,471/28,327/166

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 570,471,327

Greatest Common Factor of Numerators i.e. GCF of 570,471,327 is 3 .

LCM of Denominators means LCM of 30,28,166 as per the given fractions.

LCM of 30,28,166 is 34860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,471,327

GCF of Fractions 570/30,471/28,327/166 is 3/34860

3 570, 471, 327
190, 157, 109

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 570,471,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,471,327 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 471

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

1,3,157,471

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 570,471,327 . The biggest common factor number is the GCF number.
So the greatest common factor 570,471,327 is 3.

Lets's calculate LCM of 30,28,166

2 30, 28, 166
15, 14, 83

∴ So the LCM of the given numbers is 2 x 15 x 14 x 83 = 34860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34860

Therefore, the GCF of Fractions 570/30,471/28,327/166 is 3/34860

Least Common Multiple of 30,28,166 with GCF Formula

Least Common Multiple of 30,28,166 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 30,28,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,28,166) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(30,28,166) x common factors =2 x 2 = 4

LCM(30,28,166) = ( 30 × 28 × 166 ) / 4

LCM(30,28,166) = 139440 / 4

LCM(30,28,166) = 34860


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 570/30, 471/28, 327/166

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 570/30, 471/28, 327/166?

Answer: GCF of Numerators as per given numbers 570/30, 471/28, 327/166 is

GCF of Numerators i.e. for 570,471,327 is 3

LCM of denominators i.e. for 30,28,166 is 34860.

Thus, GCF of Fractions is 3/34860.Finally, GCF of Fractions for 570/30, 471/28, 327/166 is 3/34860.