Greatest Common Factor of 3306/595, 5238/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3306/595, 5238/847

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 3306/595,5238/847

Given fractions are 3306/595,5238/847

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 3306,5238

Greatest Common Factor of Numerators i.e. GCF of 3306,5238 is 6 .

LCM of Denominators means LCM of 595,847 as per the given fractions.

LCM of 595,847 is 71995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3306,5238

GCF of Fractions 3306/595,5238/847 is 6/71995

2 3306, 5238
3 1653, 2619
551, 873

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3306,5238 By Matching Biggest Common Factor Method

Greatest Common Factor of 3306,5238 By Matching Biggest Common Factor Method

Factors of 3306

List of positive integer factors of 3306 that divides 3306 without a remainder.

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

Greatest Common Factor

We found the factors 3306,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 3306,5238 is 6.

Lets's calculate LCM of 595,847

7 595, 847
85, 121

∴ So the LCM of the given numbers is 7 x 85 x 121 = 71995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/71995

Therefore, the GCF of Fractions 3306/595,5238/847 is 6/71995

Least Common Multiple of 595,847 with GCF Formula

Least Common Multiple of 595,847 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 595,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,847) = 7

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

GCF(595,847) x common factors =7 x 1 = 7

LCM(595,847) = ( 595 × 847 ) / 7

LCM(595,847) = 503965 / 7

LCM(595,847) = 71995


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 3306/595, 5238/847

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 3306/595, 5238/847?

Answer: GCF of Numerators as per given numbers 3306/595, 5238/847 is

GCF of Numerators i.e. for 3306,5238 is 6

LCM of denominators i.e. for 595,847 is 71995.

Thus, GCF of Fractions is 6/71995.Finally, GCF of Fractions for 3306/595, 5238/847 is 6/71995.