Get help with finding GCF of fractions 6/23, 9/45, 27/89, 36/117 using GCF of Fractions Calculator to know the result 3/1197495 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 6/23, 9/45, 27/89, 36/117 is **3/1197495**.

GCF(6/23, 9/45, 27/89, 36/117) = 3/1197495

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

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

Given fractions are 6/23,9/45,27/89,36/117

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 6,9,27,36

Greatest Common Factor of Numerators i.e. GCF of 6,9,27,36 is 3 .

LCM of Denominators means LCM of 23,45,89,117 as per the given fractions.

LCM of 23,45,89,117 is 1197495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,9,27,36

3 | 6, 9, 27, 36 |

2, 3, 9, 12 |

∴ So the GCF of the given numbers is 3 = 3

**Factors of 6**

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

**Factors of 9**

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

1,3,9

**Factors of 27**

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

**Factors of 36**

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

**Greatest Common Factor**

We found the factors 6,9,27,36 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 6,9,27,36 ** is **3**.

Lets's calculate LCM of 23,45,89,117

3 | 23, 45, 89, 117 |

3 | 23, 15, 89, 39 |

23, 5, 89, 13 |

∴ So the LCM of the given numbers is 3 x 3 x 23 x 5 x 89 x 13 = 1197495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1197495

Therefore, the GCF of Fractions 6/23,9/45,27/89,36/117 is 3/1197495

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 23,45,89,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,89,117) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(23,45,89,117) x common factors =1 x 9 = 9

LCM(23,45,89,117) = ( 23 × 45 × 89 × 117 ) / 9

LCM(23,45,89,117) = 10777455 / 9

LCM(23,45,89,117) = 1197495

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 6/23, 9/45, 27/89, 36/117?

Answer: GCF of Numerators as per given numbers 6/23, 9/45, 27/89, 36/117 is

GCF of Numerators i.e. for 6,9,27,36 is 3

LCM of denominators i.e. for 23,45,89,117 is 1197495.

Thus, GCF of Fractions is 3/1197495.Finally, GCF of Fractions for 6/23, 9/45, 27/89, 36/117 is 3/1197495.