Greatest Common Factor of 5644/504, 4905/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5644/504, 4905/666

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 5644/504,4905/666

Given fractions are 5644/504,4905/666

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 5644,4905

Greatest Common Factor of Numerators i.e. GCF of 5644,4905 is 1 .

LCM of Denominators means LCM of 504,666 as per the given fractions.

LCM of 504,666 is 18648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5644,4905

GCF of Fractions 5644/504,4905/666 is 1/18648

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

Greatest Common Factor of 5644,4905 By Matching Biggest Common Factor Method

Greatest Common Factor of 5644,4905 By Matching Biggest Common Factor Method

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors 5644,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,4905 is 1.

Lets's calculate LCM of 504,666

2 504, 666
3 252, 333
3 84, 111
28, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 37 = 18648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18648

Therefore, the GCF of Fractions 5644/504,4905/666 is 1/18648

Least Common Multiple of 504,666 with GCF Formula

Least Common Multiple of 504,666 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 504,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,666) = 18

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

GCF(504,666) x common factors =18 x 1 = 18

LCM(504,666) = ( 504 × 666 ) / 18

LCM(504,666) = 335664 / 18

LCM(504,666) = 18648


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 5644/504, 4905/666

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 5644/504, 4905/666?

Answer: GCF of Numerators as per given numbers 5644/504, 4905/666 is

GCF of Numerators i.e. for 5644,4905 is 1

LCM of denominators i.e. for 504,666 is 18648.

Thus, GCF of Fractions is 1/18648.Finally, GCF of Fractions for 5644/504, 4905/666 is 1/18648.