Greatest Common Factor of 3690/933, 1185/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3690/933, 1185/303

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 3690/933,1185/303

Given fractions are 3690/933,1185/303

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 3690,1185

Greatest Common Factor of Numerators i.e. GCF of 3690,1185 is 15 .

LCM of Denominators means LCM of 933,303 as per the given fractions.

LCM of 933,303 is 94233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3690,1185

GCF of Fractions 3690/933,1185/303 is 15/94233

3 3690, 1185
5 1230, 395
246, 79

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 3690,1185 By Matching Biggest Common Factor Method

Greatest Common Factor of 3690,1185 By Matching Biggest Common Factor Method

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

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1,3,5,15,79,237,395,1185

Greatest Common Factor

We found the factors 3690,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,1185 is 15.

Lets's calculate LCM of 933,303

3 933, 303
311, 101

∴ So the LCM of the given numbers is 3 x 311 x 101 = 94233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/94233

Therefore, the GCF of Fractions 3690/933,1185/303 is 15/94233

Least Common Multiple of 933,303 with GCF Formula

Least Common Multiple of 933,303 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 933,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,303) = 3

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

GCF(933,303) x common factors =3 x 1 = 3

LCM(933,303) = ( 933 × 303 ) / 3

LCM(933,303) = 282699 / 3

LCM(933,303) = 94233


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 3690/933, 1185/303

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 3690/933, 1185/303?

Answer: GCF of Numerators as per given numbers 3690/933, 1185/303 is

GCF of Numerators i.e. for 3690,1185 is 15

LCM of denominators i.e. for 933,303 is 94233.

Thus, GCF of Fractions is 15/94233.Finally, GCF of Fractions for 3690/933, 1185/303 is 15/94233.