Get help with finding GCF of fractions 1155/162, 1365/1525 using GCF of Fractions Calculator to know the result 105/247050 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 1155/162, 1365/1525 is **105/247050**.

GCF(1155/162, 1365/1525) = 105/247050

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

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

Given fractions are 1155/162,1365/1525

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 1155,1365

Greatest Common Factor of Numerators i.e. GCF of 1155,1365 is 105 .

LCM of Denominators means LCM of 162,1525 as per the given fractions.

LCM of 162,1525 is 247050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1155,1365

3 | 1155, 1365 |

5 | 385, 455 |

7 | 77, 91 |

11, 13 |

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

**Factors of 1155**

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

**Factors of 1365**

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

**Greatest Common Factor**

We found the factors 1155,1365 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 1155,1365 ** is **105**.

Lets's calculate LCM of 162,1525

Given numbers has no common factors except 1. So, there LCM is their product i.e 247050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/247050

Therefore, the GCF of Fractions 1155/162,1365/1525 is 105/247050

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 162,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,1525) = 1

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

GCF(162,1525) x common factors =1 x 1 = 1

LCM(162,1525) = ( 162 × 1525 ) / 1

LCM(162,1525) = 247050 / 1

LCM(162,1525) = 247050

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 1155/162, 1365/1525?

Answer: GCF of Numerators as per given numbers 1155/162, 1365/1525 is

GCF of Numerators i.e. for 1155,1365 is 105

LCM of denominators i.e. for 162,1525 is 247050.

Thus, GCF of Fractions is 105/247050.Finally, GCF of Fractions for 1155/162, 1365/1525 is 105/247050.