Greatest Common Factor of 1797/333, 7351/2219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1797/333, 7351/2219

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 1797/333,7351/2219

Given fractions are 1797/333,7351/2219

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 1797,7351

Greatest Common Factor of Numerators i.e. GCF of 1797,7351 is 1 .

LCM of Denominators means LCM of 333,2219 as per the given fractions.

LCM of 333,2219 is 738927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1797,7351

GCF of Fractions 1797/333,7351/2219 is 1/738927

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

Greatest Common Factor of 1797,7351 By Matching Biggest Common Factor Method

Greatest Common Factor of 1797,7351 By Matching Biggest Common Factor Method

Factors of 1797

List of positive integer factors of 1797 that divides 1797 without a remainder.

1,3,599,1797

Factors of 7351

List of positive integer factors of 7351 that divides 7351 without a remainder.

1,7351

Greatest Common Factor

We found the factors 1797,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 1797,7351 is 1.

Lets's calculate LCM of 333,2219

Given numbers has no common factors except 1. So, there LCM is their product i.e 738927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738927

Therefore, the GCF of Fractions 1797/333,7351/2219 is 1/738927

Least Common Multiple of 333,2219 with GCF Formula

Least Common Multiple of 333,2219 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 333,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,2219) = 1

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

GCF(333,2219) x common factors =1 x 1 = 1

LCM(333,2219) = ( 333 × 2219 ) / 1

LCM(333,2219) = 738927 / 1

LCM(333,2219) = 738927


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 1797/333, 7351/2219

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 1797/333, 7351/2219?

Answer: GCF of Numerators as per given numbers 1797/333, 7351/2219 is

GCF of Numerators i.e. for 1797,7351 is 1

LCM of denominators i.e. for 333,2219 is 738927.

Thus, GCF of Fractions is 1/738927.Finally, GCF of Fractions for 1797/333, 7351/2219 is 1/738927.