Greatest Common Factor of 4389/57, 4752/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4389/57, 4752/792

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 4389/57,4752/792

Given fractions are 4389/57,4752/792

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 4389,4752

Greatest Common Factor of Numerators i.e. GCF of 4389,4752 is 33 .

LCM of Denominators means LCM of 57,792 as per the given fractions.

LCM of 57,792 is 15048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4389,4752

GCF of Fractions 4389/57,4752/792 is 33/15048

3 4389, 4752
11 1463, 1584
133, 144

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 4389,4752 By Matching Biggest Common Factor Method

Greatest Common Factor of 4389,4752 By Matching Biggest Common Factor Method

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Greatest Common Factor

We found the factors 4389,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 4389,4752 is 33.

Lets's calculate LCM of 57,792

3 57, 792
19, 264

∴ So the LCM of the given numbers is 3 x 19 x 264 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/15048

Therefore, the GCF of Fractions 4389/57,4752/792 is 33/15048

Least Common Multiple of 57,792 with GCF Formula

Least Common Multiple of 57,792 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 57,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,792) = 3

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

GCF(57,792) x common factors =3 x 1 = 3

LCM(57,792) = ( 57 × 792 ) / 3

LCM(57,792) = 45144 / 3

LCM(57,792) = 15048


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 4389/57, 4752/792

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 4389/57, 4752/792?

Answer: GCF of Numerators as per given numbers 4389/57, 4752/792 is

GCF of Numerators i.e. for 4389,4752 is 33

LCM of denominators i.e. for 57,792 is 15048.

Thus, GCF of Fractions is 33/15048.Finally, GCF of Fractions for 4389/57, 4752/792 is 33/15048.