Get help with finding GCF of fractions 17/242, 89/1573 using GCF of Fractions Calculator to know the result 1/3146 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 17/242, 89/1573 is **1/3146**.

GCF(17/242, 89/1573) = 1/3146

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

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

Given fractions are 17/242,89/1573

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 17,89

Greatest Common Factor of Numerators i.e. GCF of 17,89 is 1 .

LCM of Denominators means LCM of 242,1573 as per the given fractions.

LCM of 242,1573 is 3146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,89

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

**Factors of 17**

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

**Factors of 89**

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

**Greatest Common Factor**

We found the factors 17,89 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 17,89 ** is **1**.

Lets's calculate LCM of 242,1573

11 | 242, 1573 |

11 | 22, 143 |

2, 13 |

∴ So the LCM of the given numbers is 11 x 11 x 2 x 13 = 3146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3146

Therefore, the GCF of Fractions 17/242,89/1573 is 1/3146

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 242,1573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,1573) = 121

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

GCF(242,1573) x common factors =121 x 1 = 121

LCM(242,1573) = ( 242 × 1573 ) / 121

LCM(242,1573) = 380666 / 121

LCM(242,1573) = 3146

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 17/242, 89/1573?

Answer: GCF of Numerators as per given numbers 17/242, 89/1573 is

GCF of Numerators i.e. for 17,89 is 1

LCM of denominators i.e. for 242,1573 is 3146.

Thus, GCF of Fractions is 1/3146.Finally, GCF of Fractions for 17/242, 89/1573 is 1/3146.