Greatest Common Factor of 303/19, 3690/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/19, 3690/335

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 303/19,3690/335

Given fractions are 303/19,3690/335

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 303,3690

Greatest Common Factor of Numerators i.e. GCF of 303,3690 is 3 .

LCM of Denominators means LCM of 19,335 as per the given fractions.

LCM of 19,335 is 6365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,3690

GCF of Fractions 303/19,3690/335 is 3/6365

3 303, 3690
101, 1230

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

Greatest Common Factor of 303,3690 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,3690 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Greatest Common Factor

We found the factors 303,3690 . The biggest common factor number is the GCF number.
So the greatest common factor 303,3690 is 3.

Lets's calculate LCM of 19,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 6365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6365

Therefore, the GCF of Fractions 303/19,3690/335 is 3/6365

Least Common Multiple of 19,335 with GCF Formula

Least Common Multiple of 19,335 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 19,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,335) = 1

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

GCF(19,335) x common factors =1 x 1 = 1

LCM(19,335) = ( 19 × 335 ) / 1

LCM(19,335) = 6365 / 1

LCM(19,335) = 6365


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 303/19, 3690/335

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 303/19, 3690/335?

Answer: GCF of Numerators as per given numbers 303/19, 3690/335 is

GCF of Numerators i.e. for 303,3690 is 3

LCM of denominators i.e. for 19,335 is 6365.

Thus, GCF of Fractions is 3/6365.Finally, GCF of Fractions for 303/19, 3690/335 is 3/6365.