Get help with finding GCF of fractions 3/99, 6/55, 40/42, 78/836 using GCF of Fractions Calculator to know the result 1/263340 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 3/99, 6/55, 40/42, 78/836 is **1/263340**.

GCF(3/99, 6/55, 40/42, 78/836) = 1/263340

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

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

Given fractions are 3/99,6/55,40/42,78/836

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 3,6,40,78

Greatest Common Factor of Numerators i.e. GCF of 3,6,40,78 is 1 .

LCM of Denominators means LCM of 99,55,42,836 as per the given fractions.

LCM of 99,55,42,836 is 263340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,6,40,78

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

**Factors of 3**

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

**Factors of 6**

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

1,2,3,6

**Factors of 40**

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

**Factors of 78**

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

**Greatest Common Factor**

We found the factors 3,6,40,78 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 3,6,40,78 ** is **1**.

Lets's calculate LCM of 99,55,42,836

2 | 99, 55, 42, 836 |

3 | 99, 55, 21, 418 |

11 | 33, 55, 7, 418 |

3, 5, 7, 38 |

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 5 x 7 x 38 = 263340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263340

Therefore, the GCF of Fractions 3/99,6/55,40/42,78/836 is 1/263340

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 99,55,42,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,55,42,836) = 1

common factors(in case of two or more numbers have common factors) = 726

GCF(99,55,42,836) x common factors =1 x 726 = 726

LCM(99,55,42,836) = ( 99 × 55 × 42 × 836 ) / 726

LCM(99,55,42,836) = 191184840 / 726

LCM(99,55,42,836) = 263340

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 3/99, 6/55, 40/42, 78/836?

Answer: GCF of Numerators as per given numbers 3/99, 6/55, 40/42, 78/836 is

GCF of Numerators i.e. for 3,6,40,78 is 1

LCM of denominators i.e. for 99,55,42,836 is 263340.

Thus, GCF of Fractions is 1/263340.Finally, GCF of Fractions for 3/99, 6/55, 40/42, 78/836 is 1/263340.