Get help with finding GCF of fractions 168/24, 180/48, 330/60 using GCF of Fractions Calculator to know the result 6/240 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 168/24, 180/48, 330/60 is **6/240**.

GCF(168/24, 180/48, 330/60) = 6/240

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

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

Given fractions are 168/24,180/48,330/60

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 168,180,330

Greatest Common Factor of Numerators i.e. GCF of 168,180,330 is 6 .

LCM of Denominators means LCM of 24,48,60 as per the given fractions.

LCM of 24,48,60 is 240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,180,330

2 | 168, 180, 330 |

3 | 84, 90, 165 |

28, 30, 55 |

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

**Factors of 168**

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

**Factors of 180**

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

**Factors of 330**

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

**Greatest Common Factor**

We found the factors 168,180,330 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 168,180,330 ** is **6**.

Lets's calculate LCM of 24,48,60

2 | 24, 48, 60 |

2 | 12, 24, 30 |

2 | 6, 12, 15 |

3 | 3, 6, 15 |

1, 2, 5 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 2 x 5 = 240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/240

Therefore, the GCF of Fractions 168/24,180/48,330/60 is 6/240

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 24,48,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,48,60) = 12

common factors(in case of two or more numbers have common factors) = 24

GCF(24,48,60) x common factors =12 x 24 = 288

LCM(24,48,60) = ( 24 × 48 × 60 ) / 288

LCM(24,48,60) = 69120 / 288

LCM(24,48,60) = 240

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 168/24, 180/48, 330/60?

Answer: GCF of Numerators as per given numbers 168/24, 180/48, 330/60 is

GCF of Numerators i.e. for 168,180,330 is 6

LCM of denominators i.e. for 24,48,60 is 240.

Thus, GCF of Fractions is 6/240.Finally, GCF of Fractions for 168/24, 180/48, 330/60 is 6/240.