Greatest Common Factor of 205/317, 354/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 205/317, 354/353

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 205/317,354/353

Given fractions are 205/317,354/353

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 205,354

Greatest Common Factor of Numerators i.e. GCF of 205,354 is 1 .

LCM of Denominators means LCM of 317,353 as per the given fractions.

LCM of 317,353 is 111901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 205,354

GCF of Fractions 205/317,354/353 is 1/111901

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

Greatest Common Factor of 205,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,354 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 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 205,354 . The biggest common factor number is the GCF number.
So the greatest common factor 205,354 is 1.

Lets's calculate LCM of 317,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 111901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111901

Therefore, the GCF of Fractions 205/317,354/353 is 1/111901

Least Common Multiple of 317,353 with GCF Formula

Least Common Multiple of 317,353 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 317,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,353) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(317,353) x common factors =1 x 1 = 1

LCM(317,353) = ( 317 × 353 ) / 1

LCM(317,353) = 111901 / 1

LCM(317,353) = 111901


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 205/317, 354/353

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 205/317, 354/353?

Answer: GCF of Numerators as per given numbers 205/317, 354/353 is

GCF of Numerators i.e. for 205,354 is 1

LCM of denominators i.e. for 317,353 is 111901.

Thus, GCF of Fractions is 1/111901.Finally, GCF of Fractions for 205/317, 354/353 is 1/111901.