Get help with finding GCF of fractions 1500/55, 1800/605 using GCF of Fractions Calculator to know the result 300/605 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 1500/55, 1800/605 is **300/605**.

GCF(1500/55, 1800/605) = 300/605

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

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

Given fractions are 1500/55,1800/605

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 1500,1800

Greatest Common Factor of Numerators i.e. GCF of 1500,1800 is 300 .

LCM of Denominators means LCM of 55,605 as per the given fractions.

LCM of 55,605 is 605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1500,1800

2 | 1500, 1800 |

2 | 750, 900 |

3 | 375, 450 |

5 | 125, 150 |

5 | 25, 30 |

5, 6 |

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 x 5 = 300

**Factors of 1500**

List of positive integer factors of 1500 that divides 1500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500

**Factors of 1800**

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

**Greatest Common Factor**

We found the factors 1500,1800 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 1500,1800 ** is **300**.

Lets's calculate LCM of 55,605

5 | 55, 605 |

11 | 11, 121 |

1, 11 |

∴ So the LCM of the given numbers is 5 x 11 x 1 x 11 = 605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 300/605

Therefore, the GCF of Fractions 1500/55,1800/605 is 300/605

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 55,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,605) = 55

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

GCF(55,605) x common factors =55 x 1 = 55

LCM(55,605) = ( 55 × 605 ) / 55

LCM(55,605) = 33275 / 55

LCM(55,605) = 605

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 1500/55, 1800/605?

Answer: GCF of Numerators as per given numbers 1500/55, 1800/605 is

GCF of Numerators i.e. for 1500,1800 is 300

LCM of denominators i.e. for 55,605 is 605.

Thus, GCF of Fractions is 300/605.Finally, GCF of Fractions for 1500/55, 1800/605 is 300/605.