Get help with finding GCF of fractions 165/245, 180/392, 210/486 using GCF of Fractions Calculator to know the result 15/476280 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 165/245, 180/392, 210/486 is **15/476280**.

GCF(165/245, 180/392, 210/486) = 15/476280

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

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

Given fractions are 165/245,180/392,210/486

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 165,180,210

Greatest Common Factor of Numerators i.e. GCF of 165,180,210 is 15 .

LCM of Denominators means LCM of 245,392,486 as per the given fractions.

LCM of 245,392,486 is 476280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,180,210

3 | 165, 180, 210 |

5 | 55, 60, 70 |

11, 12, 14 |

∴ So the GCF of the given numbers is 3 x 5 = 15

**Factors of 165**

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

**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 210**

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

**Greatest Common Factor**

We found the factors 165,180,210 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 165,180,210 ** is **15**.

Lets's calculate LCM of 245,392,486

2 | 245, 392, 486 |

7 | 245, 196, 243 |

7 | 35, 28, 243 |

5, 4, 243 |

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 4 x 243 = 476280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/476280

Therefore, the GCF of Fractions 165/245,180/392,210/486 is 15/476280

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 245,392,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,392,486) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(245,392,486) x common factors =1 x 98 = 98

LCM(245,392,486) = ( 245 × 392 × 486 ) / 98

LCM(245,392,486) = 46675440 / 98

LCM(245,392,486) = 476280

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 165/245, 180/392, 210/486?

Answer: GCF of Numerators as per given numbers 165/245, 180/392, 210/486 is

GCF of Numerators i.e. for 165,180,210 is 15

LCM of denominators i.e. for 245,392,486 is 476280.

Thus, GCF of Fractions is 15/476280.Finally, GCF of Fractions for 165/245, 180/392, 210/486 is 15/476280.