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

**Ex: **GCF of Fractions 15/45, 80/92, 10/86 (or) GCF of Fractions 65/75, 30/40, 50/60 (or) GCF of Fractions 12/14, 16/18, 20/40

**Here are some samples of GCF of Fractions calculations.**

- GCF of Fractions 378/52, 525/442
- GCF of Fractions 32/121, 1024/3721
- GCF of Fractions 1500/55, 1800/605
- GCF of Fractions 792/77, 990/3456
- GCF of Fractions 1386/76, 4095/675
- GCF of Fractions 12/135, 20/240
- GCF of Fractions 6/23, 9/45, 27/89, 36/117
- GCF of Fractions 12/32, 15/44, 18/65, 36/128
- GCF of Fractions 7/12, 9/30, 14/42, 19/72

- GCF of Fractions 70/34, 90/170, 140/225
- GCF of Fractions 108/76, 150/95, 432/133
- GCF of Fractions 75/175, 125/343, 150/490
- GCF of Fractions 165/245, 180/392, 210/486
- GCF of Fractions 15/24, 20/28, 25/32
- GCF of Fractions 84/12, 96/18, 144/26
- GCF of Fractions 4/48, 7/84, 8/91, 16/120
- GCF of Fractions 9/32, 15/48, 27/54, 33/61
- GCF of Fractions 4/16, 7/36, 11/80, 17/100

- GCF of Fractions 144/144, 180/180, 300/198
- GCF of Fractions 63/72, 90/90, 150/126
- GCF of Fractions 12/12, 30/30, 144/72
- GCF of Fractions 90/45, 150/75, 225/225
- GCF of Fractions 45/180, 75/225, 100/270
- GCF of Fractions 16/18, 28/72, 32/216
- GCF of Fractions 54/30, 90/75, 108/180
- GCF of Fractions 72/36, 180/45, 252/60
- GCF of Fractions 70/108, 98/120, 147/144
- GCF of Fractions 105/36, 150/54, 210/126
- GCF of Fractions 160/48, 180/72, 240/132
- GCF of Fractions 8/96, 12/120, 23/180
- GCF of Fractions 6/75, 14/120, 15/200
- GCF of Fractions 6/378, 21/485, 28/500
- GCF of Fractions 168/24, 180/48, 330/60
- GCF of Fractions 8/18, 108/24, 180/60
- GCF of Fractions 216/85, 4096/561
- GCF of Fractions 495/243, 550/867
- GCF of Fractions 1155/162, 1365/1525
- GCF of Fractions 1000/288, 1440/864
- GCF of Fractions 506/256, 1155/625
- GCF of Fractions 297/625, 1089/676
- GCF of Fractions 275/294, 625/784
- GCF of Fractions 1008/576, 4704/1024

- GCF of Fractions 6/42, 15/75, 24/84, 32/90
- GCF of Fractions 12/40, 20/45, 28/48, 36/90
- GCF of Fractions 10/36, 12/60, 20/84, 25/108
- GCF of Fractions 60/42, 72/63, 85/66, 96/86
- GCF of Fractions 15/32, 20/36, 25/48, 30/64
- GCF of Fractions 11/18, 12/36, 19/63, 40/120
- GCF of Fractions 23/15, 24/20, 25/24, 120/48
- GCF of Fractions 7/9, 12/27, 21/81, 27/90
- GCF of Fractions 10/12, 15/24, 18/32, 32/54
- GCF of Fractions 7/12, 10/18, 13/75, 17/80
- GCF of Fractions 9/27, 28/36, 42/45, 48/56
- GCF of Fractions 16/30, 24/60, 32/75, 36/120
- GCF of Fractions 8/21, 14/28, 26/30, 56/98
- GCF of Fractions 4/6, 12/10, 15/11, 40/14
- GCF of Fractions 6/63, 21/81, 27/108, 105/120
- GCF of Fractions 32/40, 64/48, 80/60, 128/95
- GCF of Fractions 468/94, 520/2428
- GCF of Fractions 625/336, 1000/625
- GCF of Fractions 1008/384, 2064/576
- GCF of Fractions 17/242, 89/1573
- GCF of Fractions 2/231, 9/385
- GCF of Fractions 490/1600, 630/2560
- GCF of Fractions 19/114, 519/513
- GCF of Fractions 204/420, 1190/4480

In mathematical terms, a fraction is used to denote a portion or component of a whole thing. It symbolizes the proportionate equal parts of the whole. The upper part of the fraction is known as the numerator & lower part is denoted as the denominator.

In mathematical terms, suppose we take the number ‘x’. So, any number which divides the number ‘x’ fully without any remainder is said to be the factor of number ‘x’. Suppose we write down the factors of one or more numbers, then factors of these numbers which are the same in each factorization are said to be the common factors of the given set of numbers.

Here are the steps to find the GCF of given fractions:

- Here, we will consider the numerator & denominator of a fraction separately.
- Write down the prime factors of all the numbers in the numerator separately.
- Check the list of prime factors of all numbers in numerators & Write down the common prime factors from the factorization of numerators.
- Multiply all the common prime factors to get the GCF of all numbers in the numerator.
- Now, write down the multiples of all the numbers in the denominator separately.
- Check the list of multiples of all numbers in the denominator & write down a common multiple from all the multiples of the denominators.
- Now, the common multiple is the LCM of all the numbers in the denominator.
- To find the GCF of a fraction, divide the GCF of numerator numbers by the LCM of the denominator.

**Example: **

Find the HCF of 4/3, 6/5 & 8/5.

**Solution:**

Here, the given fractions are 4/3, 6/5 & 8/5

Now we will first consider the numbers in the numerator i.e. 4, 6 & 8.

Now, prime factors of these numbers are:

4 = 2 × 2

6 = 2 × 3

8 = 2 × 2 × 2

From the factorization of numerators of above fractions, common factor is 2.

So, the GCF (4, 6, 8) = 2

Now we will consider the numbers in denominator i.e. 3, 5 & 5.

Now, we will write the multiples of these numbers:

Multiples of 3 = 3, 6, 9, 12, 15, 18 & so on

Multiples of 5 = 5, 10, 15, 20 & so on

Here, the least common multiple of the denominator is 15.

i.e. LCM (3, 5, 5) = 15

Now, the GCF of fractions is the division of the GCF of numerator numbers by the LCM of the denominator.

Now, GCF (4/3, 6/5, 8/5) = 2/15

Want to get your hands on the free online tool to calculate the GCF for a set of numbers visit us at hcflcm.com

**What does GCF mean in fractions?**

In Fractions GCF is the largest common factor that is shared by all the numbers present. Hence, it is known as Greatest Common Factor.

**What is the HCF fraction method?**

The HCF fraction method can be simply stated by a formula,

HCF of fractions = HCF of numerators/LCM of the denominators.

**What are the 3 steps to simplify fractions?**

It becomes easier to simply the fractions by finding the factors for numerators and denominators, determining the HCF of them and finally performing division of the numerator and denominator by the calculated HCF.

**What are the 3 types of the fraction?**

The 3 types of fractions are categorized as mixed fractions, proper fractions and improper fractions.