Greatest Common Factor of 205/58, 337/95, 435/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 205/58, 337/95, 435/52

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 205/58,337/95,435/52

Given fractions are 205/58,337/95,435/52

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 205,337,435

Greatest Common Factor of Numerators i.e. GCF of 205,337,435 is 1 .

LCM of Denominators means LCM of 58,95,52 as per the given fractions.

LCM of 58,95,52 is 143260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 205,337,435

GCF of Fractions 205/58,337/95,435/52 is 1/143260

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

Greatest Common Factor of 205,337,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,337,435 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

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 205,337,435 . The biggest common factor number is the GCF number.
So the greatest common factor 205,337,435 is 1.

Lets's calculate LCM of 58,95,52

2 58, 95, 52
29, 95, 26

∴ So the LCM of the given numbers is 2 x 29 x 95 x 26 = 143260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143260

Therefore, the GCF of Fractions 205/58,337/95,435/52 is 1/143260

Least Common Multiple of 58,95,52 with GCF Formula

Least Common Multiple of 58,95,52 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 58,95,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,95,52) = 1

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

GCF(58,95,52) x common factors =1 x 2 = 2

LCM(58,95,52) = ( 58 × 95 × 52 ) / 2

LCM(58,95,52) = 286520 / 2

LCM(58,95,52) = 143260


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 205/58, 337/95, 435/52

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 205/58, 337/95, 435/52?

Answer: GCF of Numerators as per given numbers 205/58, 337/95, 435/52 is

GCF of Numerators i.e. for 205,337,435 is 1

LCM of denominators i.e. for 58,95,52 is 143260.

Thus, GCF of Fractions is 1/143260.Finally, GCF of Fractions for 205/58, 337/95, 435/52 is 1/143260.