Greatest Common Factor of 384/23, 932/5768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/23, 932/5768

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 384/23,932/5768

Given fractions are 384/23,932/5768

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 384,932

Greatest Common Factor of Numerators i.e. GCF of 384,932 is 4 .

LCM of Denominators means LCM of 23,5768 as per the given fractions.

LCM of 23,5768 is 132664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,932

GCF of Fractions 384/23,932/5768 is 4/132664

2 384, 932
2 192, 466
96, 233

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

Greatest Common Factor of 384,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,932 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 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 384,932 . The biggest common factor number is the GCF number.
So the greatest common factor 384,932 is 4.

Lets's calculate LCM of 23,5768

Given numbers has no common factors except 1. So, there LCM is their product i.e 132664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/132664

Therefore, the GCF of Fractions 384/23,932/5768 is 4/132664

Least Common Multiple of 23,5768 with GCF Formula

Least Common Multiple of 23,5768 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 23,5768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,5768) = 1

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

GCF(23,5768) x common factors =1 x 1 = 1

LCM(23,5768) = ( 23 × 5768 ) / 1

LCM(23,5768) = 132664 / 1

LCM(23,5768) = 132664


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 384/23, 932/5768

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 384/23, 932/5768?

Answer: GCF of Numerators as per given numbers 384/23, 932/5768 is

GCF of Numerators i.e. for 384,932 is 4

LCM of denominators i.e. for 23,5768 is 132664.

Thus, GCF of Fractions is 4/132664.Finally, GCF of Fractions for 384/23, 932/5768 is 4/132664.