Greatest Common Factor of 384/992, 984/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/992, 984/192

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 384/992,984/192

Given fractions are 384/992,984/192

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 384,984

Greatest Common Factor of Numerators i.e. GCF of 384,984 is 24 .

LCM of Denominators means LCM of 992,192 as per the given fractions.

LCM of 992,192 is 5952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,984

GCF of Fractions 384/992,984/192 is 24/5952

2 384, 984
2 192, 492
2 96, 246
3 48, 123
16, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 384,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,984 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 384,984 . The biggest common factor number is the GCF number.
So the greatest common factor 384,984 is 24.

Lets's calculate LCM of 992,192

2 992, 192
2 496, 96
2 248, 48
2 124, 24
2 62, 12
31, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 31 x 6 = 5952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/5952

Therefore, the GCF of Fractions 384/992,984/192 is 24/5952

Least Common Multiple of 992,192 with GCF Formula

Least Common Multiple of 992,192 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 992,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,192) = 32

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

GCF(992,192) x common factors =32 x 1 = 32

LCM(992,192) = ( 992 × 192 ) / 32

LCM(992,192) = 190464 / 32

LCM(992,192) = 5952


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 384/992, 984/192

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 384/992, 984/192?

Answer: GCF of Numerators as per given numbers 384/992, 984/192 is

GCF of Numerators i.e. for 384,984 is 24

LCM of denominators i.e. for 992,192 is 5952.

Thus, GCF of Fractions is 24/5952.Finally, GCF of Fractions for 384/992, 984/192 is 24/5952.