Greatest Common Factor of 4000/159, 4056/4533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4000/159, 4056/4533

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 4000/159,4056/4533

Given fractions are 4000/159,4056/4533

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 4000,4056

Greatest Common Factor of Numerators i.e. GCF of 4000,4056 is 8 .

LCM of Denominators means LCM of 159,4533 as per the given fractions.

LCM of 159,4533 is 240249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4000,4056

GCF of Fractions 4000/159,4056/4533 is 8/240249

2 4000, 4056
2 2000, 2028
2 1000, 1014
500, 507

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

Greatest Common Factor of 4000,4056 By Matching Biggest Common Factor Method

Greatest Common Factor of 4000,4056 By Matching Biggest Common Factor Method

Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000

Factors of 4056

List of positive integer factors of 4056 that divides 4056 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056

Greatest Common Factor

We found the factors 4000,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 4000,4056 is 8.

Lets's calculate LCM of 159,4533

3 159, 4533
53, 1511

∴ So the LCM of the given numbers is 3 x 53 x 1511 = 240249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/240249

Therefore, the GCF of Fractions 4000/159,4056/4533 is 8/240249

Least Common Multiple of 159,4533 with GCF Formula

Least Common Multiple of 159,4533 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 159,4533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,4533) = 3

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

GCF(159,4533) x common factors =3 x 1 = 3

LCM(159,4533) = ( 159 × 4533 ) / 3

LCM(159,4533) = 720747 / 3

LCM(159,4533) = 240249


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 4000/159, 4056/4533

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 4000/159, 4056/4533?

Answer: GCF of Numerators as per given numbers 4000/159, 4056/4533 is

GCF of Numerators i.e. for 4000,4056 is 8

LCM of denominators i.e. for 159,4533 is 240249.

Thus, GCF of Fractions is 8/240249.Finally, GCF of Fractions for 4000/159, 4056/4533 is 8/240249.