Greatest Common Factor of 4432/75, 2398/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4432/75, 2398/789

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 4432/75,2398/789

Given fractions are 4432/75,2398/789

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 4432,2398

Greatest Common Factor of Numerators i.e. GCF of 4432,2398 is 2 .

LCM of Denominators means LCM of 75,789 as per the given fractions.

LCM of 75,789 is 19725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4432,2398

GCF of Fractions 4432/75,2398/789 is 2/19725

2 4432, 2398
2216, 1199

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

Greatest Common Factor of 4432,2398 By Matching Biggest Common Factor Method

Greatest Common Factor of 4432,2398 By Matching Biggest Common Factor Method

Factors of 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1,2,4,8,16,277,554,1108,2216,4432

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Greatest Common Factor

We found the factors 4432,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 4432,2398 is 2.

Lets's calculate LCM of 75,789

3 75, 789
25, 263

∴ So the LCM of the given numbers is 3 x 25 x 263 = 19725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19725

Therefore, the GCF of Fractions 4432/75,2398/789 is 2/19725

Least Common Multiple of 75,789 with GCF Formula

Least Common Multiple of 75,789 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 75,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,789) = 3

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

GCF(75,789) x common factors =3 x 1 = 3

LCM(75,789) = ( 75 × 789 ) / 3

LCM(75,789) = 59175 / 3

LCM(75,789) = 19725


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 4432/75, 2398/789

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 4432/75, 2398/789?

Answer: GCF of Numerators as per given numbers 4432/75, 2398/789 is

GCF of Numerators i.e. for 4432,2398 is 2

LCM of denominators i.e. for 75,789 is 19725.

Thus, GCF of Fractions is 2/19725.Finally, GCF of Fractions for 4432/75, 2398/789 is 2/19725.