Get help with finding GCF of fractions 19/114, 519/513 using GCF of Fractions Calculator to know the result 1/1026 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 19/114, 519/513 is **1/1026**.

GCF(19/114, 519/513) = 1/1026

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

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

Given fractions are 19/114,519/513

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 19,519

Greatest Common Factor of Numerators i.e. GCF of 19,519 is 1 .

LCM of Denominators means LCM of 114,513 as per the given fractions.

LCM of 114,513 is 1026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,519

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

**Factors of 19**

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

1,19

**Factors of 519**

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

**Greatest Common Factor**

We found the factors 19,519 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 19,519 ** is **1**.

Lets's calculate LCM of 114,513

3 | 114, 513 |

19 | 38, 171 |

2, 9 |

∴ So the LCM of the given numbers is 3 x 19 x 2 x 9 = 1026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1026

Therefore, the GCF of Fractions 19/114,519/513 is 1/1026

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 114,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,513) = 57

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

GCF(114,513) x common factors =57 x 1 = 57

LCM(114,513) = ( 114 × 513 ) / 57

LCM(114,513) = 58482 / 57

LCM(114,513) = 1026

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 19/114, 519/513?

Answer: GCF of Numerators as per given numbers 19/114, 519/513 is

GCF of Numerators i.e. for 19,519 is 1

LCM of denominators i.e. for 114,513 is 1026.

Thus, GCF of Fractions is 1/1026.Finally, GCF of Fractions for 19/114, 519/513 is 1/1026.