Get help with finding GCF of fractions 2/231, 9/385 using GCF of Fractions Calculator to know the result 1/1155 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 2/231, 9/385 is **1/1155**.

GCF(2/231, 9/385) = 1/1155

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

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

Given fractions are 2/231,9/385

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 2,9

Greatest Common Factor of Numerators i.e. GCF of 2,9 is 1 .

LCM of Denominators means LCM of 231,385 as per the given fractions.

LCM of 231,385 is 1155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,9

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

**Factors of 2**

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

**Factors of 9**

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

**Greatest Common Factor**

We found the factors 2,9 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 2,9 ** is **1**.

Lets's calculate LCM of 231,385

7 | 231, 385 |

11 | 33, 55 |

3, 5 |

∴ So the LCM of the given numbers is 7 x 11 x 3 x 5 = 1155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155

Therefore, the GCF of Fractions 2/231,9/385 is 1/1155

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 231,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,385) = 77

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

GCF(231,385) x common factors =77 x 1 = 77

LCM(231,385) = ( 231 × 385 ) / 77

LCM(231,385) = 88935 / 77

LCM(231,385) = 1155

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 2/231, 9/385?

Answer: GCF of Numerators as per given numbers 2/231, 9/385 is

GCF of Numerators i.e. for 2,9 is 1

LCM of denominators i.e. for 231,385 is 1155.

Thus, GCF of Fractions is 1/1155.Finally, GCF of Fractions for 2/231, 9/385 is 1/1155.