Greatest Common Factor of 289/19, 459/3326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/19, 459/3326

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 289/19,459/3326

Given fractions are 289/19,459/3326

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 289,459

Greatest Common Factor of Numerators i.e. GCF of 289,459 is 17 .

LCM of Denominators means LCM of 19,3326 as per the given fractions.

LCM of 19,3326 is 63194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,459

GCF of Fractions 289/19,459/3326 is 17/63194

17 289, 459
17, 27

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 289,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,459 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 289,459 . The biggest common factor number is the GCF number.
So the greatest common factor 289,459 is 17.

Lets's calculate LCM of 19,3326

Given numbers has no common factors except 1. So, there LCM is their product i.e 63194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/63194

Therefore, the GCF of Fractions 289/19,459/3326 is 17/63194

Least Common Multiple of 19,3326 with GCF Formula

Least Common Multiple of 19,3326 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 19,3326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,3326) = 1

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

GCF(19,3326) x common factors =1 x 1 = 1

LCM(19,3326) = ( 19 × 3326 ) / 1

LCM(19,3326) = 63194 / 1

LCM(19,3326) = 63194


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 289/19, 459/3326

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 289/19, 459/3326?

Answer: GCF of Numerators as per given numbers 289/19, 459/3326 is

GCF of Numerators i.e. for 289,459 is 17

LCM of denominators i.e. for 19,3326 is 63194.

Thus, GCF of Fractions is 17/63194.Finally, GCF of Fractions for 289/19, 459/3326 is 17/63194.