Greatest Common Factor of 233/655, 405/138, 725/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/655, 405/138, 725/851

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 233/655,405/138,725/851

Given fractions are 233/655,405/138,725/851

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 233,405,725

Greatest Common Factor of Numerators i.e. GCF of 233,405,725 is 1 .

LCM of Denominators means LCM of 655,138,851 as per the given fractions.

LCM of 655,138,851 is 3344430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,405,725

GCF of Fractions 233/655,405/138,725/851 is 1/3344430

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

Greatest Common Factor of 233,405,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,405,725 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 233,405,725 . The biggest common factor number is the GCF number.
So the greatest common factor 233,405,725 is 1.

Lets's calculate LCM of 655,138,851

23 655, 138, 851
655, 6, 37

∴ So the LCM of the given numbers is 23 x 655 x 6 x 37 = 3344430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3344430

Therefore, the GCF of Fractions 233/655,405/138,725/851 is 1/3344430

Least Common Multiple of 655,138,851 with GCF Formula

Least Common Multiple of 655,138,851 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 655,138,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,138,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(655,138,851) x common factors =1 x 23 = 23

LCM(655,138,851) = ( 655 × 138 × 851 ) / 23

LCM(655,138,851) = 76921890 / 23

LCM(655,138,851) = 3344430


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 233/655, 405/138, 725/851

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 233/655, 405/138, 725/851?

Answer: GCF of Numerators as per given numbers 233/655, 405/138, 725/851 is

GCF of Numerators i.e. for 233,405,725 is 1

LCM of denominators i.e. for 655,138,851 is 3344430.

Thus, GCF of Fractions is 1/3344430.Finally, GCF of Fractions for 233/655, 405/138, 725/851 is 1/3344430.