Greatest Common Factor of 6795/676, 7403/3307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6795/676, 7403/3307

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 6795/676,7403/3307

Given fractions are 6795/676,7403/3307

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 6795,7403

Greatest Common Factor of Numerators i.e. GCF of 6795,7403 is 1 .

LCM of Denominators means LCM of 676,3307 as per the given fractions.

LCM of 676,3307 is 2235532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6795,7403

GCF of Fractions 6795/676,7403/3307 is 1/2235532

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

Greatest Common Factor of 6795,7403 By Matching Biggest Common Factor Method

Greatest Common Factor of 6795,7403 By Matching Biggest Common Factor Method

Factors of 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1,3,5,9,15,45,151,453,755,1359,2265,6795

Factors of 7403

List of positive integer factors of 7403 that divides 7403 without a remainder.

1,11,673,7403

Greatest Common Factor

We found the factors 6795,7403 . The biggest common factor number is the GCF number.
So the greatest common factor 6795,7403 is 1.


Lets's calculate LCM of 676,3307

Given numbers has no common factors except 1. So, there LCM is their product i.e 2235532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2235532

Therefore, the GCF of Fractions 6795/676,7403/3307 is 1/2235532

Least Common Multiple of 676,3307 with GCF Formula

Least Common Multiple of 676,3307 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 676,3307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,3307) = 1

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

GCF(676,3307) x common factors =1 x 1 = 1

LCM(676,3307) = ( 676 × 3307 ) / 1

LCM(676,3307) = 2235532 / 1

LCM(676,3307) = 2235532


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6795/676, 7403/3307

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 6795/676, 7403/3307?

Answer: GCF of Numerators as per given numbers 6795/676, 7403/3307 is

GCF of Numerators i.e. for 6795,7403 is 1

LCM of denominators i.e. for 676,3307 is 2235532.

Thus, GCF of Fractions is 1/2235532.Finally, GCF of Fractions for 6795/676, 7403/3307 is 1/2235532.