Get help with finding GCF of fractions 6/378, 21/485, 28/500 using GCF of Fractions Calculator to know the result 1/9166500 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 6/378, 21/485, 28/500 is **1/9166500**.

GCF(6/378, 21/485, 28/500) = 1/9166500

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

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

Given fractions are 6/378,21/485,28/500

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 6,21,28

Greatest Common Factor of Numerators i.e. GCF of 6,21,28 is 1 .

LCM of Denominators means LCM of 378,485,500 as per the given fractions.

LCM of 378,485,500 is 9166500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,21,28

∴ So GCF of numbers is 1 because of no common factors present between them.

**Factors of 6**

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

**Factors of 21**

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

**Factors of 28**

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

**Greatest Common Factor**

We found the factors 6,21,28 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 6,21,28 ** is **1**.

Lets's calculate LCM of 378,485,500

2 | 378, 485, 500 |

5 | 189, 485, 250 |

189, 97, 50 |

∴ So the LCM of the given numbers is 2 x 5 x 189 x 97 x 50 = 9166500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9166500

Therefore, the GCF of Fractions 6/378,21/485,28/500 is 1/9166500

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 378,485,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,485,500) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(378,485,500) x common factors =1 x 10 = 10

LCM(378,485,500) = ( 378 × 485 × 500 ) / 10

LCM(378,485,500) = 91665000 / 10

LCM(378,485,500) = 9166500

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 6/378, 21/485, 28/500?

Answer: GCF of Numerators as per given numbers 6/378, 21/485, 28/500 is

GCF of Numerators i.e. for 6,21,28 is 1

LCM of denominators i.e. for 378,485,500 is 9166500.

Thus, GCF of Fractions is 1/9166500.Finally, GCF of Fractions for 6/378, 21/485, 28/500 is 1/9166500.