Greatest Common Factor of 384/184, 144/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/184, 144/148

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 384/184,144/148

Given fractions are 384/184,144/148

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 384,144

Greatest Common Factor of Numerators i.e. GCF of 384,144 is 48 .

LCM of Denominators means LCM of 184,148 as per the given fractions.

LCM of 184,148 is 6808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,144

GCF of Fractions 384/184,144/148 is 48/6808

2 384, 144
2 192, 72
2 96, 36
2 48, 18
3 24, 9
8, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 384,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,144 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 384,144 . The biggest common factor number is the GCF number.
So the greatest common factor 384,144 is 48.

Lets's calculate LCM of 184,148

2 184, 148
2 92, 74
46, 37

∴ So the LCM of the given numbers is 2 x 2 x 46 x 37 = 6808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/6808

Therefore, the GCF of Fractions 384/184,144/148 is 48/6808

Least Common Multiple of 184,148 with GCF Formula

Least Common Multiple of 184,148 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 184,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,148) = 4

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

GCF(184,148) x common factors =4 x 1 = 4

LCM(184,148) = ( 184 × 148 ) / 4

LCM(184,148) = 27232 / 4

LCM(184,148) = 6808


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 384/184, 144/148

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 384/184, 144/148?

Answer: GCF of Numerators as per given numbers 384/184, 144/148 is

GCF of Numerators i.e. for 384,144 is 48

LCM of denominators i.e. for 184,148 is 6808.

Thus, GCF of Fractions is 48/6808.Finally, GCF of Fractions for 384/184, 144/148 is 48/6808.