Get help with finding GCF of fractions 63/57, 64/12, 839/538 using GCF of Fractions Calculator to know the result 1/61332 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 63/57, 64/12, 839/538 is **1/61332**.

GCF(63/57, 64/12, 839/538) = 1/61332

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

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

Given fractions are 63/57,64/12,839/538

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 63,64,839

Greatest Common Factor of Numerators i.e. GCF of 63,64,839 is 1 .

LCM of Denominators means LCM of 57,12,538 as per the given fractions.

LCM of 57,12,538 is 61332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,64,839

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

**Factors of 63**

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

**Factors of 64**

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

**Factors of 839**

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

**Greatest Common Factor**

We found the factors 63,64,839 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 63,64,839 ** is **1**.

Lets's calculate LCM of 57,12,538

2 | 57, 12, 538 |

3 | 57, 6, 269 |

19, 2, 269 |

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 269 = 61332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61332

Therefore, the GCF of Fractions 63/57,64/12,839/538 is 1/61332

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 57,12,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,12,538) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,12,538) x common factors =1 x 6 = 6

LCM(57,12,538) = ( 57 × 12 × 538 ) / 6

LCM(57,12,538) = 367992 / 6

LCM(57,12,538) = 61332

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 63/57, 64/12, 839/538?

Answer: GCF of Numerators as per given numbers 63/57, 64/12, 839/538 is

GCF of Numerators i.e. for 63,64,839 is 1

LCM of denominators i.e. for 57,12,538 is 61332.

Thus, GCF of Fractions is 1/61332.Finally, GCF of Fractions for 63/57, 64/12, 839/538 is 1/61332.