Get help with finding GCF of fractions 1008/576, 4704/1024 using GCF of Fractions Calculator to know the result 336/9216 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 1008/576, 4704/1024 is **336/9216**.

GCF(1008/576, 4704/1024) = 336/9216

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

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

Given fractions are 1008/576,4704/1024

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 1008,4704

Greatest Common Factor of Numerators i.e. GCF of 1008,4704 is 336 .

LCM of Denominators means LCM of 576,1024 as per the given fractions.

LCM of 576,1024 is 9216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1008,4704

2 | 1008, 4704 |

2 | 504, 2352 |

2 | 252, 1176 |

2 | 126, 588 |

3 | 63, 294 |

7 | 21, 98 |

3, 14 |

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 = 336

**Factors of 1008**

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

**Factors of 4704**

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

**Greatest Common Factor**

We found the factors 1008,4704 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 1008,4704 ** is **336**.

Lets's calculate LCM of 576,1024

2 | 576, 1024 |

2 | 288, 512 |

2 | 144, 256 |

2 | 72, 128 |

2 | 36, 64 |

2 | 18, 32 |

9, 16 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 9 x 16 = 9216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 336/9216

Therefore, the GCF of Fractions 1008/576,4704/1024 is 336/9216

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 576,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,1024) = 64

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

GCF(576,1024) x common factors =64 x 1 = 64

LCM(576,1024) = ( 576 × 1024 ) / 64

LCM(576,1024) = 589824 / 64

LCM(576,1024) = 9216

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 1008/576, 4704/1024?

Answer: GCF of Numerators as per given numbers 1008/576, 4704/1024 is

GCF of Numerators i.e. for 1008,4704 is 336

LCM of denominators i.e. for 576,1024 is 9216.

Thus, GCF of Fractions is 336/9216.Finally, GCF of Fractions for 1008/576, 4704/1024 is 336/9216.