Greatest Common Factor of 6695/804, 7551/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6695/804, 7551/393

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 6695/804,7551/393

Given fractions are 6695/804,7551/393

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 6695,7551

Greatest Common Factor of Numerators i.e. GCF of 6695,7551 is 1 .

LCM of Denominators means LCM of 804,393 as per the given fractions.

LCM of 804,393 is 105324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6695,7551

GCF of Fractions 6695/804,7551/393 is 1/105324

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

Greatest Common Factor of 6695,7551 By Matching Biggest Common Factor Method

Greatest Common Factor of 6695,7551 By Matching Biggest Common Factor Method

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1,5,13,65,103,515,1339,6695

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors 6695,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 6695,7551 is 1.

Lets's calculate LCM of 804,393

3 804, 393
268, 131

∴ So the LCM of the given numbers is 3 x 268 x 131 = 105324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105324

Therefore, the GCF of Fractions 6695/804,7551/393 is 1/105324

Least Common Multiple of 804,393 with GCF Formula

Least Common Multiple of 804,393 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 804,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,393) = 3

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

GCF(804,393) x common factors =3 x 1 = 3

LCM(804,393) = ( 804 × 393 ) / 3

LCM(804,393) = 315972 / 3

LCM(804,393) = 105324


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 6695/804, 7551/393

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 6695/804, 7551/393?

Answer: GCF of Numerators as per given numbers 6695/804, 7551/393 is

GCF of Numerators i.e. for 6695,7551 is 1

LCM of denominators i.e. for 804,393 is 105324.

Thus, GCF of Fractions is 1/105324.Finally, GCF of Fractions for 6695/804, 7551/393 is 1/105324.