Greatest Common Factor of 231/72, 262/61, 186/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/72, 262/61, 186/849

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 231/72,262/61,186/849

Given fractions are 231/72,262/61,186/849

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 231,262,186

Greatest Common Factor of Numerators i.e. GCF of 231,262,186 is 1 .

LCM of Denominators means LCM of 72,61,849 as per the given fractions.

LCM of 72,61,849 is 1242936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,262,186

GCF of Fractions 231/72,262/61,186/849 is 1/1242936

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

Greatest Common Factor of 231,262,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,262,186 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

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 231,262,186 . The biggest common factor number is the GCF number.
So the greatest common factor 231,262,186 is 1.

Lets's calculate LCM of 72,61,849

3 72, 61, 849
24, 61, 283

∴ So the LCM of the given numbers is 3 x 24 x 61 x 283 = 1242936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242936

Therefore, the GCF of Fractions 231/72,262/61,186/849 is 1/1242936

Least Common Multiple of 72,61,849 with GCF Formula

Least Common Multiple of 72,61,849 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 72,61,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,61,849) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,61,849) x common factors =1 x 3 = 3

LCM(72,61,849) = ( 72 × 61 × 849 ) / 3

LCM(72,61,849) = 3728808 / 3

LCM(72,61,849) = 1242936


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 231/72, 262/61, 186/849

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 231/72, 262/61, 186/849?

Answer: GCF of Numerators as per given numbers 231/72, 262/61, 186/849 is

GCF of Numerators i.e. for 231,262,186 is 1

LCM of denominators i.e. for 72,61,849 is 1242936.

Thus, GCF of Fractions is 1/1242936.Finally, GCF of Fractions for 231/72, 262/61, 186/849 is 1/1242936.