Get help with finding GCF of fractions 70/108, 98/120, 147/144 using GCF of Fractions Calculator to know the result 7/2160 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 70/108, 98/120, 147/144 is **7/2160**.

GCF(70/108, 98/120, 147/144) = 7/2160

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

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

Given fractions are 70/108,98/120,147/144

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 70,98,147

Greatest Common Factor of Numerators i.e. GCF of 70,98,147 is 7 .

LCM of Denominators means LCM of 108,120,144 as per the given fractions.

LCM of 108,120,144 is 2160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,98,147

7 | 70, 98, 147 |

10, 14, 21 |

∴ So the GCF of the given numbers is 7 = 7

**Factors of 70**

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

**Factors of 98**

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

**Factors of 147**

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

**Greatest Common Factor**

We found the factors 70,98,147 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 70,98,147 ** is **7**.

Lets's calculate LCM of 108,120,144

2 | 108, 120, 144 |

2 | 54, 60, 72 |

2 | 27, 30, 36 |

3 | 27, 15, 18 |

3 | 9, 5, 6 |

3, 5, 2 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 2 = 2160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2160

Therefore, the GCF of Fractions 70/108,98/120,147/144 is 7/2160

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 108,120,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,120,144) = 12

common factors(in case of two or more numbers have common factors) = 72

GCF(108,120,144) x common factors =12 x 72 = 864

LCM(108,120,144) = ( 108 × 120 × 144 ) / 864

LCM(108,120,144) = 1866240 / 864

LCM(108,120,144) = 2160

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 70/108, 98/120, 147/144?

Answer: GCF of Numerators as per given numbers 70/108, 98/120, 147/144 is

GCF of Numerators i.e. for 70,98,147 is 7

LCM of denominators i.e. for 108,120,144 is 2160.

Thus, GCF of Fractions is 7/2160.Finally, GCF of Fractions for 70/108, 98/120, 147/144 is 7/2160.