Greatest Common Factor of 1857/285, 3163/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1857/285, 3163/539

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 1857/285,3163/539

Given fractions are 1857/285,3163/539

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 1857,3163

Greatest Common Factor of Numerators i.e. GCF of 1857,3163 is 1 .

LCM of Denominators means LCM of 285,539 as per the given fractions.

LCM of 285,539 is 153615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1857,3163

GCF of Fractions 1857/285,3163/539 is 1/153615

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

Greatest Common Factor of 1857,3163 By Matching Biggest Common Factor Method

Greatest Common Factor of 1857,3163 By Matching Biggest Common Factor Method

Factors of 1857

List of positive integer factors of 1857 that divides 1857 without a remainder.

1,3,619,1857

Factors of 3163

List of positive integer factors of 3163 that divides 3163 without a remainder.

1,3163

Greatest Common Factor

We found the factors 1857,3163 . The biggest common factor number is the GCF number.
So the greatest common factor 1857,3163 is 1.


Lets's calculate LCM of 285,539

Given numbers has no common factors except 1. So, there LCM is their product i.e 153615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153615

Therefore, the GCF of Fractions 1857/285,3163/539 is 1/153615

Least Common Multiple of 285,539 with GCF Formula

Least Common Multiple of 285,539 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 285,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,539) = 1

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

GCF(285,539) x common factors =1 x 1 = 1

LCM(285,539) = ( 285 × 539 ) / 1

LCM(285,539) = 153615 / 1

LCM(285,539) = 153615


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1857/285, 3163/539

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 1857/285, 3163/539?

Answer: GCF of Numerators as per given numbers 1857/285, 3163/539 is

GCF of Numerators i.e. for 1857,3163 is 1

LCM of denominators i.e. for 285,539 is 153615.

Thus, GCF of Fractions is 1/153615.Finally, GCF of Fractions for 1857/285, 3163/539 is 1/153615.