Greatest Common Factor of 273/476, 471/321, 186/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/476, 471/321, 186/391

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 273/476,471/321,186/391

Given fractions are 273/476,471/321,186/391

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 273,471,186

Greatest Common Factor of Numerators i.e. GCF of 273,471,186 is 3 .

LCM of Denominators means LCM of 476,321,391 as per the given fractions.

LCM of 476,321,391 is 3514308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,471,186

GCF of Fractions 273/476,471/321,186/391 is 3/3514308

3 273, 471, 186
91, 157, 62

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

Greatest Common Factor of 273,471,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,471,186 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 471

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

1,3,157,471

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 273,471,186 . The biggest common factor number is the GCF number.
So the greatest common factor 273,471,186 is 3.

Lets's calculate LCM of 476,321,391

17 476, 321, 391
28, 321, 23

∴ So the LCM of the given numbers is 17 x 28 x 321 x 23 = 3514308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3514308

Therefore, the GCF of Fractions 273/476,471/321,186/391 is 3/3514308

Least Common Multiple of 476,321,391 with GCF Formula

Least Common Multiple of 476,321,391 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 476,321,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,321,391) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(476,321,391) x common factors =1 x 17 = 17

LCM(476,321,391) = ( 476 × 321 × 391 ) / 17

LCM(476,321,391) = 59743236 / 17

LCM(476,321,391) = 3514308


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 273/476, 471/321, 186/391

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 273/476, 471/321, 186/391?

Answer: GCF of Numerators as per given numbers 273/476, 471/321, 186/391 is

GCF of Numerators i.e. for 273,471,186 is 3

LCM of denominators i.e. for 476,321,391 is 3514308.

Thus, GCF of Fractions is 3/3514308.Finally, GCF of Fractions for 273/476, 471/321, 186/391 is 3/3514308.