Greatest Common Factor of 405/46, 2457/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/46, 2457/576

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 405/46,2457/576

Given fractions are 405/46,2457/576

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 405,2457

Greatest Common Factor of Numerators i.e. GCF of 405,2457 is 27 .

LCM of Denominators means LCM of 46,576 as per the given fractions.

LCM of 46,576 is 13248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,2457

GCF of Fractions 405/46,2457/576 is 27/13248

3 405, 2457
3 135, 819
3 45, 273
15, 91

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 405,2457 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,2457 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 2457

List of positive integer factors of 2457 that divides 2457 without a remainder.

1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457

Greatest Common Factor

We found the factors 405,2457 . The biggest common factor number is the GCF number.
So the greatest common factor 405,2457 is 27.

Lets's calculate LCM of 46,576

2 46, 576
23, 288

∴ So the LCM of the given numbers is 2 x 23 x 288 = 13248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/13248

Therefore, the GCF of Fractions 405/46,2457/576 is 27/13248

Least Common Multiple of 46,576 with GCF Formula

Least Common Multiple of 46,576 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 46,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,576) = 2

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

GCF(46,576) x common factors =2 x 1 = 2

LCM(46,576) = ( 46 × 576 ) / 2

LCM(46,576) = 26496 / 2

LCM(46,576) = 13248


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 405/46, 2457/576

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 405/46, 2457/576?

Answer: GCF of Numerators as per given numbers 405/46, 2457/576 is

GCF of Numerators i.e. for 405,2457 is 27

LCM of denominators i.e. for 46,576 is 13248.

Thus, GCF of Fractions is 27/13248.Finally, GCF of Fractions for 405/46, 2457/576 is 27/13248.