Greatest Common Factor of 4328/72, 2160/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4328/72, 2160/381

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 4328/72,2160/381

Given fractions are 4328/72,2160/381

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 4328,2160

Greatest Common Factor of Numerators i.e. GCF of 4328,2160 is 8 .

LCM of Denominators means LCM of 72,381 as per the given fractions.

LCM of 72,381 is 9144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4328,2160

GCF of Fractions 4328/72,2160/381 is 8/9144

2 4328, 2160
2 2164, 1080
2 1082, 540
541, 270

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4328,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 4328,2160 By Matching Biggest Common Factor Method

Factors of 4328

List of positive integer factors of 4328 that divides 4328 without a remainder.

1,2,4,8,541,1082,2164,4328

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 4328,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 4328,2160 is 8.

Lets's calculate LCM of 72,381

3 72, 381
24, 127

∴ So the LCM of the given numbers is 3 x 24 x 127 = 9144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9144

Therefore, the GCF of Fractions 4328/72,2160/381 is 8/9144

Least Common Multiple of 72,381 with GCF Formula

Least Common Multiple of 72,381 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 72,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,381) = 3

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

GCF(72,381) x common factors =3 x 1 = 3

LCM(72,381) = ( 72 × 381 ) / 3

LCM(72,381) = 27432 / 3

LCM(72,381) = 9144


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 4328/72, 2160/381

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 4328/72, 2160/381?

Answer: GCF of Numerators as per given numbers 4328/72, 2160/381 is

GCF of Numerators i.e. for 4328,2160 is 8

LCM of denominators i.e. for 72,381 is 9144.

Thus, GCF of Fractions is 8/9144.Finally, GCF of Fractions for 4328/72, 2160/381 is 8/9144.