Greatest Common Factor of 2544/442, 4231/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2544/442, 4231/738

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 2544/442,4231/738

Given fractions are 2544/442,4231/738

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 2544,4231

Greatest Common Factor of Numerators i.e. GCF of 2544,4231 is 1 .

LCM of Denominators means LCM of 442,738 as per the given fractions.

LCM of 442,738 is 163098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2544,4231

GCF of Fractions 2544/442,4231/738 is 1/163098

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

Greatest Common Factor of 2544,4231 By Matching Biggest Common Factor Method

Greatest Common Factor of 2544,4231 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 4231

List of positive integer factors of 4231 that divides 4231 without a remainder.

1,4231

Greatest Common Factor

We found the factors 2544,4231 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,4231 is 1.

Lets's calculate LCM of 442,738

2 442, 738
221, 369

∴ So the LCM of the given numbers is 2 x 221 x 369 = 163098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163098

Therefore, the GCF of Fractions 2544/442,4231/738 is 1/163098

Least Common Multiple of 442,738 with GCF Formula

Least Common Multiple of 442,738 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 442,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,738) = 2

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

GCF(442,738) x common factors =2 x 1 = 2

LCM(442,738) = ( 442 × 738 ) / 2

LCM(442,738) = 326196 / 2

LCM(442,738) = 163098


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 2544/442, 4231/738

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 2544/442, 4231/738?

Answer: GCF of Numerators as per given numbers 2544/442, 4231/738 is

GCF of Numerators i.e. for 2544,4231 is 1

LCM of denominators i.e. for 442,738 is 163098.

Thus, GCF of Fractions is 1/163098.Finally, GCF of Fractions for 2544/442, 4231/738 is 1/163098.