Greatest Common Factor of 2544/141, 8004/3669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2544/141, 8004/3669

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 2544/141,8004/3669

Given fractions are 2544/141,8004/3669

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 2544,8004

Greatest Common Factor of Numerators i.e. GCF of 2544,8004 is 12 .

LCM of Denominators means LCM of 141,3669 as per the given fractions.

LCM of 141,3669 is 172443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2544,8004

GCF of Fractions 2544/141,8004/3669 is 12/172443

2 2544, 8004
2 1272, 4002
3 636, 2001
212, 667

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2544,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 2544,8004 By Matching Biggest Common Factor Method

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 2544,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,8004 is 12.

Lets's calculate LCM of 141,3669

3 141, 3669
47, 1223

∴ So the LCM of the given numbers is 3 x 47 x 1223 = 172443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/172443

Therefore, the GCF of Fractions 2544/141,8004/3669 is 12/172443

Least Common Multiple of 141,3669 with GCF Formula

Least Common Multiple of 141,3669 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 141,3669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,3669) = 3

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

GCF(141,3669) x common factors =3 x 1 = 3

LCM(141,3669) = ( 141 × 3669 ) / 3

LCM(141,3669) = 517329 / 3

LCM(141,3669) = 172443


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 2544/141, 8004/3669

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 2544/141, 8004/3669?

Answer: GCF of Numerators as per given numbers 2544/141, 8004/3669 is

GCF of Numerators i.e. for 2544,8004 is 12

LCM of denominators i.e. for 141,3669 is 172443.

Thus, GCF of Fractions is 12/172443.Finally, GCF of Fractions for 2544/141, 8004/3669 is 12/172443.