Greatest Common Factor of 205/18, 540/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 205/18, 540/869

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 205/18,540/869

Given fractions are 205/18,540/869

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 205,540

Greatest Common Factor of Numerators i.e. GCF of 205,540 is 5 .

LCM of Denominators means LCM of 18,869 as per the given fractions.

LCM of 18,869 is 15642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 205,540

GCF of Fractions 205/18,540/869 is 5/15642

5 205, 540
41, 108

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 205,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,540 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 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 205,540 . The biggest common factor number is the GCF number.
So the greatest common factor 205,540 is 5.

Lets's calculate LCM of 18,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 15642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/15642

Therefore, the GCF of Fractions 205/18,540/869 is 5/15642

Least Common Multiple of 18,869 with GCF Formula

Least Common Multiple of 18,869 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 18,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,869) = 1

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

GCF(18,869) x common factors =1 x 1 = 1

LCM(18,869) = ( 18 × 869 ) / 1

LCM(18,869) = 15642 / 1

LCM(18,869) = 15642


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, 540/869

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, 540/869?

Answer: GCF of Numerators as per given numbers 205/18, 540/869 is

GCF of Numerators i.e. for 205,540 is 5

LCM of denominators i.e. for 18,869 is 15642.

Thus, GCF of Fractions is 5/15642.Finally, GCF of Fractions for 205/18, 540/869 is 5/15642.