Greatest Common Factor of 7491/933, 6693/6401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7491/933, 6693/6401

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 7491/933,6693/6401

Given fractions are 7491/933,6693/6401

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 7491,6693

Greatest Common Factor of Numerators i.e. GCF of 7491,6693 is 3 .

LCM of Denominators means LCM of 933,6401 as per the given fractions.

LCM of 933,6401 is 5972133 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7491,6693

GCF of Fractions 7491/933,6693/6401 is 3/5972133

3 7491, 6693
2497, 2231

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7491,6693 By Matching Biggest Common Factor Method

Greatest Common Factor of 7491,6693 By Matching Biggest Common Factor Method

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

Factors of 6693

List of positive integer factors of 6693 that divides 6693 without a remainder.

1,3,23,69,97,291,2231,6693

Greatest Common Factor

We found the factors 7491,6693 . The biggest common factor number is the GCF number.
So the greatest common factor 7491,6693 is 3.

Lets's calculate LCM of 933,6401

Given numbers has no common factors except 1. So, there LCM is their product i.e 5972133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5972133

Therefore, the GCF of Fractions 7491/933,6693/6401 is 3/5972133

Least Common Multiple of 933,6401 with GCF Formula

Least Common Multiple of 933,6401 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 933,6401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,6401) = 1

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

GCF(933,6401) x common factors =1 x 1 = 1

LCM(933,6401) = ( 933 × 6401 ) / 1

LCM(933,6401) = 5972133 / 1

LCM(933,6401) = 5972133


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 7491/933, 6693/6401

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 7491/933, 6693/6401?

Answer: GCF of Numerators as per given numbers 7491/933, 6693/6401 is

GCF of Numerators i.e. for 7491,6693 is 3

LCM of denominators i.e. for 933,6401 is 5972133.

Thus, GCF of Fractions is 3/5972133.Finally, GCF of Fractions for 7491/933, 6693/6401 is 3/5972133.