Greatest Common Factor of 3663/209, 9477/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3663/209, 9477/591

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 3663/209,9477/591

Given fractions are 3663/209,9477/591

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 3663,9477

Greatest Common Factor of Numerators i.e. GCF of 3663,9477 is 9 .

LCM of Denominators means LCM of 209,591 as per the given fractions.

LCM of 209,591 is 123519 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3663,9477

GCF of Fractions 3663/209,9477/591 is 9/123519

3 3663, 9477
3 1221, 3159
407, 1053

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3663,9477 By Matching Biggest Common Factor Method

Greatest Common Factor of 3663,9477 By Matching Biggest Common Factor Method

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Factors of 9477

List of positive integer factors of 9477 that divides 9477 without a remainder.

1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477

Greatest Common Factor

We found the factors 3663,9477 . The biggest common factor number is the GCF number.
So the greatest common factor 3663,9477 is 9.

Lets's calculate LCM of 209,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 123519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/123519

Therefore, the GCF of Fractions 3663/209,9477/591 is 9/123519

Least Common Multiple of 209,591 with GCF Formula

Least Common Multiple of 209,591 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 209,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,591) = 1

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

GCF(209,591) x common factors =1 x 1 = 1

LCM(209,591) = ( 209 × 591 ) / 1

LCM(209,591) = 123519 / 1

LCM(209,591) = 123519


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 3663/209, 9477/591

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 3663/209, 9477/591?

Answer: GCF of Numerators as per given numbers 3663/209, 9477/591 is

GCF of Numerators i.e. for 3663,9477 is 9

LCM of denominators i.e. for 209,591 is 123519.

Thus, GCF of Fractions is 9/123519.Finally, GCF of Fractions for 3663/209, 9477/591 is 9/123519.