Get help with finding GCF of fractions 45/724, 38/348, 338/108 using GCF of Fractions Calculator to know the result 1/566892 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 45/724, 38/348, 338/108 is **1/566892**.

GCF(45/724, 38/348, 338/108) = 1/566892

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

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

Given fractions are 45/724,38/348,338/108

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 45,38,338

Greatest Common Factor of Numerators i.e. GCF of 45,38,338 is 1 .

LCM of Denominators means LCM of 724,348,108 as per the given fractions.

LCM of 724,348,108 is 566892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,38,338

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

**Factors of 45**

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

**Factors of 38**

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

**Factors of 338**

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

**Greatest Common Factor**

We found the factors 45,38,338 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 45,38,338 ** is **1**.

Lets's calculate LCM of 724,348,108

2 | 724, 348, 108 |

2 | 362, 174, 54 |

3 | 181, 87, 27 |

181, 29, 9 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 181 x 29 x 9 = 566892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566892

Therefore, the GCF of Fractions 45/724,38/348,338/108 is 1/566892

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 724,348,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,348,108) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(724,348,108) x common factors =4 x 12 = 48

LCM(724,348,108) = ( 724 × 348 × 108 ) / 48

LCM(724,348,108) = 27210816 / 48

LCM(724,348,108) = 566892

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 45/724, 38/348, 338/108?

Answer: GCF of Numerators as per given numbers 45/724, 38/348, 338/108 is

GCF of Numerators i.e. for 45,38,338 is 1

LCM of denominators i.e. for 724,348,108 is 566892.

Thus, GCF of Fractions is 1/566892.Finally, GCF of Fractions for 45/724, 38/348, 338/108 is 1/566892.