Greatest Common Factor of 9072/219, 3663/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9072/219, 3663/191

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 9072/219,3663/191

Given fractions are 9072/219,3663/191

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 9072,3663

Greatest Common Factor of Numerators i.e. GCF of 9072,3663 is 9 .

LCM of Denominators means LCM of 219,191 as per the given fractions.

LCM of 219,191 is 41829 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9072,3663

GCF of Fractions 9072/219,3663/191 is 9/41829

3 9072, 3663
3 3024, 1221
1008, 407

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

Greatest Common Factor of 9072,3663 By Matching Biggest Common Factor Method

Greatest Common Factor of 9072,3663 By Matching Biggest Common Factor Method

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

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

Greatest Common Factor

We found the factors 9072,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,3663 is 9.

Lets's calculate LCM of 219,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 41829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/41829

Therefore, the GCF of Fractions 9072/219,3663/191 is 9/41829

Least Common Multiple of 219,191 with GCF Formula

Least Common Multiple of 219,191 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 219,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,191) = 1

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

GCF(219,191) x common factors =1 x 1 = 1

LCM(219,191) = ( 219 × 191 ) / 1

LCM(219,191) = 41829 / 1

LCM(219,191) = 41829


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 9072/219, 3663/191

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 9072/219, 3663/191?

Answer: GCF of Numerators as per given numbers 9072/219, 3663/191 is

GCF of Numerators i.e. for 9072,3663 is 9

LCM of denominators i.e. for 219,191 is 41829.

Thus, GCF of Fractions is 9/41829.Finally, GCF of Fractions for 9072/219, 3663/191 is 9/41829.