Get help with finding GCF of fractions 6/42, 15/75, 24/84, 32/90 using GCF of Fractions Calculator to know the result 1/6300 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 6/42, 15/75, 24/84, 32/90 is **1/6300**.

GCF(6/42, 15/75, 24/84, 32/90) = 1/6300

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

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

Given fractions are 6/42,15/75,24/84,32/90

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 6,15,24,32

Greatest Common Factor of Numerators i.e. GCF of 6,15,24,32 is 1 .

LCM of Denominators means LCM of 42,75,84,90 as per the given fractions.

LCM of 42,75,84,90 is 6300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,15,24,32

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

**Factors of 6**

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

1,2,3,6

**Factors of 15**

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

**Factors of 24**

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

**Factors of 32**

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

**Greatest Common Factor**

We found the factors 6,15,24,32 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 6,15,24,32 ** is **1**.

Lets's calculate LCM of 42,75,84,90

2 | 42, 75, 84, 90 |

3 | 21, 75, 42, 45 |

5 | 7, 25, 14, 15 |

7 | 7, 5, 14, 3 |

1, 5, 2, 3 |

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 5 x 2 x 3 = 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300

Therefore, the GCF of Fractions 6/42,15/75,24/84,32/90 is 1/6300

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 42,75,84,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,75,84,90) = 3

common factors(in case of two or more numbers have common factors) = 1260

GCF(42,75,84,90) x common factors =3 x 1260 = 3780

LCM(42,75,84,90) = ( 42 × 75 × 84 × 90 ) / 3780

LCM(42,75,84,90) = 23814000 / 3780

LCM(42,75,84,90) = 6300

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 6/42, 15/75, 24/84, 32/90?

Answer: GCF of Numerators as per given numbers 6/42, 15/75, 24/84, 32/90 is

GCF of Numerators i.e. for 6,15,24,32 is 1

LCM of denominators i.e. for 42,75,84,90 is 6300.

Thus, GCF of Fractions is 1/6300.Finally, GCF of Fractions for 6/42, 15/75, 24/84, 32/90 is 1/6300.