Get help with finding GCF of fractions 89/81, 19/89, 449/768 using GCF of Fractions Calculator to know the result 1/1845504 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 89/81, 19/89, 449/768 is **1/1845504**.

GCF(89/81, 19/89, 449/768) = 1/1845504

Enter two or more fractions separated by **"commas"**

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

Given fractions are 89/81,19/89,449/768

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 89,19,449

Greatest Common Factor of Numerators i.e. GCF of 89,19,449 is 1 .

LCM of Denominators means LCM of 81,89,768 as per the given fractions.

LCM of 81,89,768 is 1845504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,19,449

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

**Factors of 89**

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

**Factors of 19**

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

**Factors of 449**

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

**Greatest Common Factor**

We found the factors 89,19,449 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 89,19,449 ** is **1**.

Lets's calculate LCM of 81,89,768

3 | 81, 89, 768 |

27, 89, 256 |

∴ So the LCM of the given numbers is 3 x 27 x 89 x 256 = 1845504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1845504

Therefore, the GCF of Fractions 89/81,19/89,449/768 is 1/1845504

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 81,89,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,89,768) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,89,768) x common factors =1 x 3 = 3

LCM(81,89,768) = ( 81 × 89 × 768 ) / 3

LCM(81,89,768) = 5536512 / 3

LCM(81,89,768) = 1845504

Here are some samples of GCF of Fractions calculations.

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 89/81, 19/89, 449/768?

Answer: GCF of Numerators as per given numbers 89/81, 19/89, 449/768 is

GCF of Numerators i.e. for 89,19,449 is 1

LCM of denominators i.e. for 81,89,768 is 1845504.

Thus, GCF of Fractions is 1/1845504.Finally, GCF of Fractions for 89/81, 19/89, 449/768 is 1/1845504.