Get help with finding GCF of fractions 297/625, 1089/676 using GCF of Fractions Calculator to know the result 99/422500 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 297/625, 1089/676 is **99/422500**.

GCF(297/625, 1089/676) = 99/422500

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

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

Given fractions are 297/625,1089/676

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 297,1089

Greatest Common Factor of Numerators i.e. GCF of 297,1089 is 99 .

LCM of Denominators means LCM of 625,676 as per the given fractions.

LCM of 625,676 is 422500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,1089

3 | 297, 1089 |

3 | 99, 363 |

11 | 33, 121 |

3, 11 |

∴ So the GCF of the given numbers is 3 x 3 x 11 = 99

**Factors of 297**

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

**Factors of 1089**

List of positive integer factors of 1089 that divides 1089 without a remainder.

1,3,9,11,33,99,121,363,1089

**Greatest Common Factor**

We found the factors 297,1089 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 297,1089 ** is **99**.

Lets's calculate LCM of 625,676

Given numbers has no common factors except 1. So, there LCM is their product i.e 422500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/422500

Therefore, the GCF of Fractions 297/625,1089/676 is 99/422500

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 625,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,676) = 1

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

GCF(625,676) x common factors =1 x 1 = 1

LCM(625,676) = ( 625 × 676 ) / 1

LCM(625,676) = 422500 / 1

LCM(625,676) = 422500

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 297/625, 1089/676?

Answer: GCF of Numerators as per given numbers 297/625, 1089/676 is

GCF of Numerators i.e. for 297,1089 is 99

LCM of denominators i.e. for 625,676 is 422500.

Thus, GCF of Fractions is 99/422500.Finally, GCF of Fractions for 297/625, 1089/676 is 99/422500.