Greatest Common Factor of 768/33, 184/38, 356/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/33, 184/38, 356/29

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 768/33,184/38,356/29

Given fractions are 768/33,184/38,356/29

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 768,184,356

Greatest Common Factor of Numerators i.e. GCF of 768,184,356 is 4 .

LCM of Denominators means LCM of 33,38,29 as per the given fractions.

LCM of 33,38,29 is 36366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,184,356

GCF of Fractions 768/33,184/38,356/29 is 4/36366

2 768, 184, 356
2 384, 92, 178
192, 46, 89

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 768,184,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,184,356 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 768,184,356 . The biggest common factor number is the GCF number.
So the greatest common factor 768,184,356 is 4.

Lets's calculate LCM of 33,38,29

Given numbers has no common factors except 1. So, there LCM is their product i.e 36366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/36366

Therefore, the GCF of Fractions 768/33,184/38,356/29 is 4/36366

Least Common Multiple of 33,38,29 with GCF Formula

Least Common Multiple of 33,38,29 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 33,38,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,38,29) = 1

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

GCF(33,38,29) x common factors =1 x 1 = 1

LCM(33,38,29) = ( 33 × 38 × 29 ) / 1

LCM(33,38,29) = 36366 / 1

LCM(33,38,29) = 36366


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 768/33, 184/38, 356/29

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 768/33, 184/38, 356/29?

Answer: GCF of Numerators as per given numbers 768/33, 184/38, 356/29 is

GCF of Numerators i.e. for 768,184,356 is 4

LCM of denominators i.e. for 33,38,29 is 36366.

Thus, GCF of Fractions is 4/36366.Finally, GCF of Fractions for 768/33, 184/38, 356/29 is 4/36366.