Get help with finding GCF of fractions 108/76, 150/95, 432/133 using GCF of Fractions Calculator to know the result 6/2660 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 108/76, 150/95, 432/133 is **6/2660**.

GCF(108/76, 150/95, 432/133) = 6/2660

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

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

Given fractions are 108/76,150/95,432/133

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 108,150,432

Greatest Common Factor of Numerators i.e. GCF of 108,150,432 is 6 .

LCM of Denominators means LCM of 76,95,133 as per the given fractions.

LCM of 76,95,133 is 2660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,150,432

2 | 108, 150, 432 |

3 | 54, 75, 216 |

18, 25, 72 |

∴ So the GCF of the given numbers is 2 x 3 = 6

**Factors of 108**

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

**Factors of 150**

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

**Factors of 432**

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

**Greatest Common Factor**

We found the factors 108,150,432 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 108,150,432 ** is **6**.

Lets's calculate LCM of 76,95,133

19 | 76, 95, 133 |

4, 5, 7 |

∴ So the LCM of the given numbers is 19 x 4 x 5 x 7 = 2660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2660

Therefore, the GCF of Fractions 108/76,150/95,432/133 is 6/2660

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 76,95,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,95,133) = 19

common factors(in case of two or more numbers have common factors) = 19

GCF(76,95,133) x common factors =19 x 19 = 361

LCM(76,95,133) = ( 76 × 95 × 133 ) / 361

LCM(76,95,133) = 960260 / 361

LCM(76,95,133) = 2660

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 108/76, 150/95, 432/133?

Answer: GCF of Numerators as per given numbers 108/76, 150/95, 432/133 is

GCF of Numerators i.e. for 108,150,432 is 6

LCM of denominators i.e. for 76,95,133 is 2660.

Thus, GCF of Fractions is 6/2660.Finally, GCF of Fractions for 108/76, 150/95, 432/133 is 6/2660.