Greatest Common Factor of 3189/99, 9326/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3189/99, 9326/510

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 3189/99,9326/510

Given fractions are 3189/99,9326/510

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 3189,9326

Greatest Common Factor of Numerators i.e. GCF of 3189,9326 is 1 .

LCM of Denominators means LCM of 99,510 as per the given fractions.

LCM of 99,510 is 16830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3189,9326

GCF of Fractions 3189/99,9326/510 is 1/16830

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

Greatest Common Factor of 3189,9326 By Matching Biggest Common Factor Method

Greatest Common Factor of 3189,9326 By Matching Biggest Common Factor Method

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1,3,1063,3189

Factors of 9326

List of positive integer factors of 9326 that divides 9326 without a remainder.

1,2,4663,9326

Greatest Common Factor

We found the factors 3189,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 3189,9326 is 1.

Lets's calculate LCM of 99,510

3 99, 510
33, 170

∴ So the LCM of the given numbers is 3 x 33 x 170 = 16830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16830

Therefore, the GCF of Fractions 3189/99,9326/510 is 1/16830

Least Common Multiple of 99,510 with GCF Formula

Least Common Multiple of 99,510 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 99,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,510) = 3

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

GCF(99,510) x common factors =3 x 1 = 3

LCM(99,510) = ( 99 × 510 ) / 3

LCM(99,510) = 50490 / 3

LCM(99,510) = 16830


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 3189/99, 9326/510

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 3189/99, 9326/510?

Answer: GCF of Numerators as per given numbers 3189/99, 9326/510 is

GCF of Numerators i.e. for 3189,9326 is 1

LCM of denominators i.e. for 99,510 is 16830.

Thus, GCF of Fractions is 1/16830.Finally, GCF of Fractions for 3189/99, 9326/510 is 1/16830.