Get help with finding GCF of fractions 792/77, 990/3456 using GCF of Fractions Calculator to know the result 198/266112 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 792/77, 990/3456 is **198/266112**.

GCF(792/77, 990/3456) = 198/266112

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

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

Given fractions are 792/77,990/3456

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 792,990

Greatest Common Factor of Numerators i.e. GCF of 792,990 is 198 .

LCM of Denominators means LCM of 77,3456 as per the given fractions.

LCM of 77,3456 is 266112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,990

2 | 792, 990 |

3 | 396, 495 |

3 | 132, 165 |

11 | 44, 55 |

4, 5 |

∴ So the GCF of the given numbers is 2 x 3 x 3 x 11 = 198

**Factors of 792**

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

**Factors of 990**

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

**Greatest Common Factor**

We found the factors 792,990 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 792,990 ** is **198**.

Lets's calculate LCM of 77,3456

Given numbers has no common factors except 1. So, there LCM is their product i.e 266112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 198/266112

Therefore, the GCF of Fractions 792/77,990/3456 is 198/266112

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 77,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,3456) = 1

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

GCF(77,3456) x common factors =1 x 1 = 1

LCM(77,3456) = ( 77 × 3456 ) / 1

LCM(77,3456) = 266112 / 1

LCM(77,3456) = 266112

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 792/77, 990/3456?

Answer: GCF of Numerators as per given numbers 792/77, 990/3456 is

GCF of Numerators i.e. for 792,990 is 198

LCM of denominators i.e. for 77,3456 is 266112.

Thus, GCF of Fractions is 198/266112.Finally, GCF of Fractions for 792/77, 990/3456 is 198/266112.