Greatest Common Factor of 6205/396, 8935/3726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6205/396, 8935/3726

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 6205/396,8935/3726

Given fractions are 6205/396,8935/3726

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 6205,8935

Greatest Common Factor of Numerators i.e. GCF of 6205,8935 is 5 .

LCM of Denominators means LCM of 396,3726 as per the given fractions.

LCM of 396,3726 is 81972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6205,8935

GCF of Fractions 6205/396,8935/3726 is 5/81972

5 6205, 8935
1241, 1787

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6205,8935 By Matching Biggest Common Factor Method

Greatest Common Factor of 6205,8935 By Matching Biggest Common Factor Method

Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1,5,17,73,85,365,1241,6205

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1,5,1787,8935

Greatest Common Factor

We found the factors 6205,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 6205,8935 is 5.

Lets's calculate LCM of 396,3726

2 396, 3726
3 198, 1863
3 66, 621
22, 207

∴ So the LCM of the given numbers is 2 x 3 x 3 x 22 x 207 = 81972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/81972

Therefore, the GCF of Fractions 6205/396,8935/3726 is 5/81972

Least Common Multiple of 396,3726 with GCF Formula

Least Common Multiple of 396,3726 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 396,3726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,3726) = 18

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

GCF(396,3726) x common factors =18 x 1 = 18

LCM(396,3726) = ( 396 × 3726 ) / 18

LCM(396,3726) = 1475496 / 18

LCM(396,3726) = 81972


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 6205/396, 8935/3726

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 6205/396, 8935/3726?

Answer: GCF of Numerators as per given numbers 6205/396, 8935/3726 is

GCF of Numerators i.e. for 6205,8935 is 5

LCM of denominators i.e. for 396,3726 is 81972.

Thus, GCF of Fractions is 5/81972.Finally, GCF of Fractions for 6205/396, 8935/3726 is 5/81972.