Get help with finding GCF of fractions 84/12, 96/18, 144/26 using GCF of Fractions Calculator to know the result 12/468 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 84/12, 96/18, 144/26 is **12/468**.

GCF(84/12, 96/18, 144/26) = 12/468

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

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

Given fractions are 84/12,96/18,144/26

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 84,96,144

Greatest Common Factor of Numerators i.e. GCF of 84,96,144 is 12 .

LCM of Denominators means LCM of 12,18,26 as per the given fractions.

LCM of 12,18,26 is 468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,96,144

2 | 84, 96, 144 |

2 | 42, 48, 72 |

3 | 21, 24, 36 |

7, 8, 12 |

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

**Factors of 84**

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

**Factors of 96**

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

**Factors of 144**

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

**Greatest Common Factor**

We found the factors 84,96,144 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 84,96,144 ** is **12**.

Lets's calculate LCM of 12,18,26

2 | 12, 18, 26 |

3 | 6, 9, 13 |

2, 3, 13 |

∴ So the LCM of the given numbers is 2 x 3 x 2 x 3 x 13 = 468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/468

Therefore, the GCF of Fractions 84/12,96/18,144/26 is 12/468

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 12,18,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,18,26) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(12,18,26) x common factors =2 x 6 = 12

LCM(12,18,26) = ( 12 × 18 × 26 ) / 12

LCM(12,18,26) = 5616 / 12

LCM(12,18,26) = 468

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 84/12, 96/18, 144/26?

Answer: GCF of Numerators as per given numbers 84/12, 96/18, 144/26 is

GCF of Numerators i.e. for 84,96,144 is 12

LCM of denominators i.e. for 12,18,26 is 468.

Thus, GCF of Fractions is 12/468.Finally, GCF of Fractions for 84/12, 96/18, 144/26 is 12/468.