Greatest Common Factor of 4800/756, 5364/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4800/756, 5364/327

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 4800/756,5364/327

Given fractions are 4800/756,5364/327

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 4800,5364

Greatest Common Factor of Numerators i.e. GCF of 4800,5364 is 12 .

LCM of Denominators means LCM of 756,327 as per the given fractions.

LCM of 756,327 is 82404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4800,5364

GCF of Fractions 4800/756,5364/327 is 12/82404

2 4800, 5364
2 2400, 2682
3 1200, 1341
400, 447

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4800,5364 By Matching Biggest Common Factor Method

Greatest Common Factor of 4800,5364 By Matching Biggest Common Factor Method

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800

Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364

Greatest Common Factor

We found the factors 4800,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 4800,5364 is 12.

Lets's calculate LCM of 756,327

3 756, 327
252, 109

∴ So the LCM of the given numbers is 3 x 252 x 109 = 82404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/82404

Therefore, the GCF of Fractions 4800/756,5364/327 is 12/82404

Least Common Multiple of 756,327 with GCF Formula

Least Common Multiple of 756,327 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 756,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,327) = 3

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

GCF(756,327) x common factors =3 x 1 = 3

LCM(756,327) = ( 756 × 327 ) / 3

LCM(756,327) = 247212 / 3

LCM(756,327) = 82404


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 4800/756, 5364/327

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 4800/756, 5364/327?

Answer: GCF of Numerators as per given numbers 4800/756, 5364/327 is

GCF of Numerators i.e. for 4800,5364 is 12

LCM of denominators i.e. for 756,327 is 82404.

Thus, GCF of Fractions is 12/82404.Finally, GCF of Fractions for 4800/756, 5364/327 is 12/82404.