Greatest Common Factor of 384/255, 3622/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/255, 3622/996

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 384/255,3622/996

Given fractions are 384/255,3622/996

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 384,3622

Greatest Common Factor of Numerators i.e. GCF of 384,3622 is 2 .

LCM of Denominators means LCM of 255,996 as per the given fractions.

LCM of 255,996 is 84660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,3622

GCF of Fractions 384/255,3622/996 is 2/84660

2 384, 3622
192, 1811

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

Greatest Common Factor of 384,3622 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,3622 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 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1,2,1811,3622

Greatest Common Factor

We found the factors 384,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3622 is 2.

Lets's calculate LCM of 255,996

3 255, 996
85, 332

∴ So the LCM of the given numbers is 3 x 85 x 332 = 84660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84660

Therefore, the GCF of Fractions 384/255,3622/996 is 2/84660

Least Common Multiple of 255,996 with GCF Formula

Least Common Multiple of 255,996 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 255,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,996) = 3

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

GCF(255,996) x common factors =3 x 1 = 3

LCM(255,996) = ( 255 × 996 ) / 3

LCM(255,996) = 253980 / 3

LCM(255,996) = 84660


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 384/255, 3622/996

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 384/255, 3622/996?

Answer: GCF of Numerators as per given numbers 384/255, 3622/996 is

GCF of Numerators i.e. for 384,3622 is 2

LCM of denominators i.e. for 255,996 is 84660.

Thus, GCF of Fractions is 2/84660.Finally, GCF of Fractions for 384/255, 3622/996 is 2/84660.