Get help with finding GCF of fractions 1386/76, 4095/675 using GCF of Fractions Calculator to know the result 63/51300 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 1386/76, 4095/675 is **63/51300**.

GCF(1386/76, 4095/675) = 63/51300

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

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

Given fractions are 1386/76,4095/675

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 1386,4095

Greatest Common Factor of Numerators i.e. GCF of 1386,4095 is 63 .

LCM of Denominators means LCM of 76,675 as per the given fractions.

LCM of 76,675 is 51300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1386,4095

3 | 1386, 4095 |

3 | 462, 1365 |

7 | 154, 455 |

22, 65 |

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

**Factors of 1386**

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

**Factors of 4095**

List of positive integer factors of 4095 that divides 4095 without a remainder.

1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095

**Greatest Common Factor**

We found the factors 1386,4095 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 1386,4095 ** is **63**.

Lets's calculate LCM of 76,675

Given numbers has no common factors except 1. So, there LCM is their product i.e 51300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/51300

Therefore, the GCF of Fractions 1386/76,4095/675 is 63/51300

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 76,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,675) = 1

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

GCF(76,675) x common factors =1 x 1 = 1

LCM(76,675) = ( 76 × 675 ) / 1

LCM(76,675) = 51300 / 1

LCM(76,675) = 51300

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 1386/76, 4095/675?

Answer: GCF of Numerators as per given numbers 1386/76, 4095/675 is

GCF of Numerators i.e. for 1386,4095 is 63

LCM of denominators i.e. for 76,675 is 51300.

Thus, GCF of Fractions is 63/51300.Finally, GCF of Fractions for 1386/76, 4095/675 is 63/51300.