Greatest Common Factor of 6805/372, 7746/8336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6805/372, 7746/8336

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 6805/372,7746/8336

Given fractions are 6805/372,7746/8336

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 6805,7746

Greatest Common Factor of Numerators i.e. GCF of 6805,7746 is 1 .

LCM of Denominators means LCM of 372,8336 as per the given fractions.

LCM of 372,8336 is 775248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6805,7746

GCF of Fractions 6805/372,7746/8336 is 1/775248

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6805,7746 By Matching Biggest Common Factor Method

Greatest Common Factor of 6805,7746 By Matching Biggest Common Factor Method

Factors of 6805

List of positive integer factors of 6805 that divides 6805 without a remainder.

1,5,1361,6805

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

Greatest Common Factor

We found the factors 6805,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,7746 is 1.

Lets's calculate LCM of 372,8336

2 372, 8336
2 186, 4168
93, 2084

∴ So the LCM of the given numbers is 2 x 2 x 93 x 2084 = 775248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/775248

Therefore, the GCF of Fractions 6805/372,7746/8336 is 1/775248

Least Common Multiple of 372,8336 with GCF Formula

Least Common Multiple of 372,8336 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 372,8336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,8336) = 4

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

GCF(372,8336) x common factors =4 x 1 = 4

LCM(372,8336) = ( 372 × 8336 ) / 4

LCM(372,8336) = 3100992 / 4

LCM(372,8336) = 775248


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 6805/372, 7746/8336

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 6805/372, 7746/8336?

Answer: GCF of Numerators as per given numbers 6805/372, 7746/8336 is

GCF of Numerators i.e. for 6805,7746 is 1

LCM of denominators i.e. for 372,8336 is 775248.

Thus, GCF of Fractions is 1/775248.Finally, GCF of Fractions for 6805/372, 7746/8336 is 1/775248.