Greatest Common Factor of 231/27, 741/64, 435/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/27, 741/64, 435/386

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 231/27,741/64,435/386

Given fractions are 231/27,741/64,435/386

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 231,741,435

Greatest Common Factor of Numerators i.e. GCF of 231,741,435 is 3 .

LCM of Denominators means LCM of 27,64,386 as per the given fractions.

LCM of 27,64,386 is 333504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,741,435

GCF of Fractions 231/27,741/64,435/386 is 3/333504

3 231, 741, 435
77, 247, 145

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

Greatest Common Factor of 231,741,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,741,435 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 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 231,741,435 . The biggest common factor number is the GCF number.
So the greatest common factor 231,741,435 is 3.

Lets's calculate LCM of 27,64,386

2 27, 64, 386
27, 32, 193

∴ So the LCM of the given numbers is 2 x 27 x 32 x 193 = 333504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/333504

Therefore, the GCF of Fractions 231/27,741/64,435/386 is 3/333504

Least Common Multiple of 27,64,386 with GCF Formula

Least Common Multiple of 27,64,386 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 27,64,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,64,386) = 1

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

GCF(27,64,386) x common factors =1 x 2 = 2

LCM(27,64,386) = ( 27 × 64 × 386 ) / 2

LCM(27,64,386) = 667008 / 2

LCM(27,64,386) = 333504


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 231/27, 741/64, 435/386

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 231/27, 741/64, 435/386?

Answer: GCF of Numerators as per given numbers 231/27, 741/64, 435/386 is

GCF of Numerators i.e. for 231,741,435 is 3

LCM of denominators i.e. for 27,64,386 is 333504.

Thus, GCF of Fractions is 3/333504.Finally, GCF of Fractions for 231/27, 741/64, 435/386 is 3/333504.