Greatest Common Factor of 644/183, 2463/5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/183, 2463/5664

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 644/183,2463/5664

Given fractions are 644/183,2463/5664

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 644,2463

Greatest Common Factor of Numerators i.e. GCF of 644,2463 is 1 .

LCM of Denominators means LCM of 183,5664 as per the given fractions.

LCM of 183,5664 is 345504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,2463

GCF of Fractions 644/183,2463/5664 is 1/345504

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

Greatest Common Factor of 644,2463 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,2463 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1,3,821,2463

Greatest Common Factor

We found the factors 644,2463 . The biggest common factor number is the GCF number.
So the greatest common factor 644,2463 is 1.

Lets's calculate LCM of 183,5664

3 183, 5664
61, 1888

∴ So the LCM of the given numbers is 3 x 61 x 1888 = 345504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345504

Therefore, the GCF of Fractions 644/183,2463/5664 is 1/345504

Least Common Multiple of 183,5664 with GCF Formula

Least Common Multiple of 183,5664 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 183,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,5664) = 3

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

GCF(183,5664) x common factors =3 x 1 = 3

LCM(183,5664) = ( 183 × 5664 ) / 3

LCM(183,5664) = 1036512 / 3

LCM(183,5664) = 345504


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 644/183, 2463/5664

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 644/183, 2463/5664?

Answer: GCF of Numerators as per given numbers 644/183, 2463/5664 is

GCF of Numerators i.e. for 644,2463 is 1

LCM of denominators i.e. for 183,5664 is 345504.

Thus, GCF of Fractions is 1/345504.Finally, GCF of Fractions for 644/183, 2463/5664 is 1/345504.