Greatest Common Factor of 3384/180, 2241/4342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3384/180, 2241/4342

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 3384/180,2241/4342

Given fractions are 3384/180,2241/4342

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 3384,2241

Greatest Common Factor of Numerators i.e. GCF of 3384,2241 is 9 .

LCM of Denominators means LCM of 180,4342 as per the given fractions.

LCM of 180,4342 is 390780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3384,2241

GCF of Fractions 3384/180,2241/4342 is 9/390780

3 3384, 2241
3 1128, 747
376, 249

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3384,2241 By Matching Biggest Common Factor Method

Greatest Common Factor of 3384,2241 By Matching Biggest Common Factor Method

Factors of 3384

List of positive integer factors of 3384 that divides 3384 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384

Factors of 2241

List of positive integer factors of 2241 that divides 2241 without a remainder.

1,3,9,27,83,249,747,2241

Greatest Common Factor

We found the factors 3384,2241 . The biggest common factor number is the GCF number.
So the greatest common factor 3384,2241 is 9.

Lets's calculate LCM of 180,4342

2 180, 4342
90, 2171

∴ So the LCM of the given numbers is 2 x 90 x 2171 = 390780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/390780

Therefore, the GCF of Fractions 3384/180,2241/4342 is 9/390780

Least Common Multiple of 180,4342 with GCF Formula

Least Common Multiple of 180,4342 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 180,4342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,4342) = 2

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

GCF(180,4342) x common factors =2 x 1 = 2

LCM(180,4342) = ( 180 × 4342 ) / 2

LCM(180,4342) = 781560 / 2

LCM(180,4342) = 390780


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 3384/180, 2241/4342

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 3384/180, 2241/4342?

Answer: GCF of Numerators as per given numbers 3384/180, 2241/4342 is

GCF of Numerators i.e. for 3384,2241 is 9

LCM of denominators i.e. for 180,4342 is 390780.

Thus, GCF of Fractions is 9/390780.Finally, GCF of Fractions for 3384/180, 2241/4342 is 9/390780.