Greatest Common Factor of 519/810, 2385/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 519/810, 2385/144

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 519/810,2385/144

Given fractions are 519/810,2385/144

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 519,2385

Greatest Common Factor of Numerators i.e. GCF of 519,2385 is 3 .

LCM of Denominators means LCM of 810,144 as per the given fractions.

LCM of 810,144 is 6480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 519,2385

GCF of Fractions 519/810,2385/144 is 3/6480

3 519, 2385
173, 795

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 519,2385 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,2385 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1,3,5,9,15,45,53,159,265,477,795,2385

Greatest Common Factor

We found the factors 519,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 519,2385 is 3.

Lets's calculate LCM of 810,144

2 810, 144
3 405, 72
3 135, 24
45, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 45 x 8 = 6480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6480

Therefore, the GCF of Fractions 519/810,2385/144 is 3/6480

Least Common Multiple of 810,144 with GCF Formula

Least Common Multiple of 810,144 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 810,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,144) = 18

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

GCF(810,144) x common factors =18 x 1 = 18

LCM(810,144) = ( 810 × 144 ) / 18

LCM(810,144) = 116640 / 18

LCM(810,144) = 6480


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 519/810, 2385/144

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 519/810, 2385/144?

Answer: GCF of Numerators as per given numbers 519/810, 2385/144 is

GCF of Numerators i.e. for 519,2385 is 3

LCM of denominators i.e. for 810,144 is 6480.

Thus, GCF of Fractions is 3/6480.Finally, GCF of Fractions for 519/810, 2385/144 is 3/6480.