Greatest Common Factor of 539/14, 3107/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/14, 3107/288

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 539/14,3107/288

Given fractions are 539/14,3107/288

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 539,3107

Greatest Common Factor of Numerators i.e. GCF of 539,3107 is 1 .

LCM of Denominators means LCM of 14,288 as per the given fractions.

LCM of 14,288 is 2016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,3107

GCF of Fractions 539/14,3107/288 is 1/2016

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

Greatest Common Factor of 539,3107 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,3107 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1,13,239,3107

Greatest Common Factor

We found the factors 539,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 539,3107 is 1.

Lets's calculate LCM of 14,288

2 14, 288
7, 144

∴ So the LCM of the given numbers is 2 x 7 x 144 = 2016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2016

Therefore, the GCF of Fractions 539/14,3107/288 is 1/2016

Least Common Multiple of 14,288 with GCF Formula

Least Common Multiple of 14,288 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 14,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,288) = 2

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

GCF(14,288) x common factors =2 x 1 = 2

LCM(14,288) = ( 14 × 288 ) / 2

LCM(14,288) = 4032 / 2

LCM(14,288) = 2016


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 539/14, 3107/288

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 539/14, 3107/288?

Answer: GCF of Numerators as per given numbers 539/14, 3107/288 is

GCF of Numerators i.e. for 539,3107 is 1

LCM of denominators i.e. for 14,288 is 2016.

Thus, GCF of Fractions is 1/2016.Finally, GCF of Fractions for 539/14, 3107/288 is 1/2016.