Greatest Common Factor of 205/18, 215/52, 849/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 205/18, 215/52, 849/909

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 205/18,215/52,849/909

Given fractions are 205/18,215/52,849/909

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 205,215,849

Greatest Common Factor of Numerators i.e. GCF of 205,215,849 is 1 .

LCM of Denominators means LCM of 18,52,909 as per the given fractions.

LCM of 18,52,909 is 47268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 205,215,849

GCF of Fractions 205/18,215/52,849/909 is 1/47268

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

Greatest Common Factor of 205,215,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,215,849 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 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 205,215,849 . The biggest common factor number is the GCF number.
So the greatest common factor 205,215,849 is 1.

Lets's calculate LCM of 18,52,909

2 18, 52, 909
3 9, 26, 909
3 3, 26, 303
1, 26, 101

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 26 x 101 = 47268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47268

Therefore, the GCF of Fractions 205/18,215/52,849/909 is 1/47268

Least Common Multiple of 18,52,909 with GCF Formula

Least Common Multiple of 18,52,909 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 18,52,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,52,909) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,52,909) x common factors =1 x 18 = 18

LCM(18,52,909) = ( 18 × 52 × 909 ) / 18

LCM(18,52,909) = 850824 / 18

LCM(18,52,909) = 47268


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 205/18, 215/52, 849/909

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 205/18, 215/52, 849/909?

Answer: GCF of Numerators as per given numbers 205/18, 215/52, 849/909 is

GCF of Numerators i.e. for 205,215,849 is 1

LCM of denominators i.e. for 18,52,909 is 47268.

Thus, GCF of Fractions is 1/47268.Finally, GCF of Fractions for 205/18, 215/52, 849/909 is 1/47268.