Greatest Common Factor of 3393/99, 5785/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3393/99, 5785/874

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 3393/99,5785/874

Given fractions are 3393/99,5785/874

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 3393,5785

Greatest Common Factor of Numerators i.e. GCF of 3393,5785 is 13 .

LCM of Denominators means LCM of 99,874 as per the given fractions.

LCM of 99,874 is 86526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3393,5785

GCF of Fractions 3393/99,5785/874 is 13/86526

13 3393, 5785
261, 445

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3393,5785 By Matching Biggest Common Factor Method

Greatest Common Factor of 3393,5785 By Matching Biggest Common Factor Method

Factors of 3393

List of positive integer factors of 3393 that divides 3393 without a remainder.

1,3,9,13,29,39,87,117,261,377,1131,3393

Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1,5,13,65,89,445,1157,5785

Greatest Common Factor

We found the factors 3393,5785 . The biggest common factor number is the GCF number.
So the greatest common factor 3393,5785 is 13.

Lets's calculate LCM of 99,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 86526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/86526

Therefore, the GCF of Fractions 3393/99,5785/874 is 13/86526

Least Common Multiple of 99,874 with GCF Formula

Least Common Multiple of 99,874 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 99,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,874) = 1

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

GCF(99,874) x common factors =1 x 1 = 1

LCM(99,874) = ( 99 × 874 ) / 1

LCM(99,874) = 86526 / 1

LCM(99,874) = 86526


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 3393/99, 5785/874

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 3393/99, 5785/874?

Answer: GCF of Numerators as per given numbers 3393/99, 5785/874 is

GCF of Numerators i.e. for 3393,5785 is 13

LCM of denominators i.e. for 99,874 is 86526.

Thus, GCF of Fractions is 13/86526.Finally, GCF of Fractions for 3393/99, 5785/874 is 13/86526.