Get help with finding GCF of fractions 15/32, 20/36, 25/48, 30/64 using GCF of Fractions Calculator to know the result 5/576 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 15/32, 20/36, 25/48, 30/64 is **5/576**.

GCF(15/32, 20/36, 25/48, 30/64) = 5/576

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

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

Given fractions are 15/32,20/36,25/48,30/64

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 15,20,25,30

Greatest Common Factor of Numerators i.e. GCF of 15,20,25,30 is 5 .

LCM of Denominators means LCM of 32,36,48,64 as per the given fractions.

LCM of 32,36,48,64 is 576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,20,25,30

5 | 15, 20, 25, 30 |

3, 4, 5, 6 |

∴ So the GCF of the given numbers is 5 = 5

**Factors of 15**

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

**Factors of 20**

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

**Factors of 25**

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

**Factors of 30**

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

**Greatest Common Factor**

We found the factors 15,20,25,30 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 15,20,25,30 ** is **5**.

Lets's calculate LCM of 32,36,48,64

2 | 32, 36, 48, 64 |

2 | 16, 18, 24, 32 |

2 | 8, 9, 12, 16 |

2 | 4, 9, 6, 8 |

2 | 2, 9, 3, 4 |

3 | 1, 9, 3, 2 |

1, 1, 3, 2 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 3 x 2 = 576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/576

Therefore, the GCF of Fractions 15/32,20/36,25/48,30/64 is 5/576

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 32,36,48,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,36,48,64) = 4

common factors(in case of two or more numbers have common factors) = 1536

GCF(32,36,48,64) x common factors =4 x 1536 = 6144

LCM(32,36,48,64) = ( 32 × 36 × 48 × 64 ) / 6144

LCM(32,36,48,64) = 3538944 / 6144

LCM(32,36,48,64) = 576

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 15/32, 20/36, 25/48, 30/64?

Answer: GCF of Numerators as per given numbers 15/32, 20/36, 25/48, 30/64 is

GCF of Numerators i.e. for 15,20,25,30 is 5

LCM of denominators i.e. for 32,36,48,64 is 576.

Thus, GCF of Fractions is 5/576.Finally, GCF of Fractions for 15/32, 20/36, 25/48, 30/64 is 5/576.