Greatest Common Factor of 8544/183, 3331/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8544/183, 3331/240

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 8544/183,3331/240

Given fractions are 8544/183,3331/240

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 8544,3331

Greatest Common Factor of Numerators i.e. GCF of 8544,3331 is 1 .

LCM of Denominators means LCM of 183,240 as per the given fractions.

LCM of 183,240 is 14640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8544,3331

GCF of Fractions 8544/183,3331/240 is 1/14640

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

Greatest Common Factor of 8544,3331 By Matching Biggest Common Factor Method

Greatest Common Factor of 8544,3331 By Matching Biggest Common Factor Method

Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544

Factors of 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1,3331

Greatest Common Factor

We found the factors 8544,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 8544,3331 is 1.

Lets's calculate LCM of 183,240

3 183, 240
61, 80

∴ So the LCM of the given numbers is 3 x 61 x 80 = 14640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14640

Therefore, the GCF of Fractions 8544/183,3331/240 is 1/14640

Least Common Multiple of 183,240 with GCF Formula

Least Common Multiple of 183,240 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 183,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,240) = 3

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

GCF(183,240) x common factors =3 x 1 = 3

LCM(183,240) = ( 183 × 240 ) / 3

LCM(183,240) = 43920 / 3

LCM(183,240) = 14640


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 8544/183, 3331/240

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 8544/183, 3331/240?

Answer: GCF of Numerators as per given numbers 8544/183, 3331/240 is

GCF of Numerators i.e. for 8544,3331 is 1

LCM of denominators i.e. for 183,240 is 14640.

Thus, GCF of Fractions is 1/14640.Finally, GCF of Fractions for 8544/183, 3331/240 is 1/14640.