**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

**GCF of Fractions Calculator:** Get acquainted with the formula to find the Greatest Common Factor of Fractions from here. In this article of ours you will find every simple step detailing on how to find the GCF of Fractions. By referring to the further modules you will learn about the Greatest Common Factor that is exactly divisible by each of the numbers.

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 15/45, 80/92, 10/86
- GCF of Fractions 3/4, 3/8
- GCF of Fractions 1/3, 2/5
- GCF of Fractions 1/5, 1/6
- GCF of Fractions 12/14, 16/18, 20/40
- GCF of Fractions 2/3, 3/4
- GCF of Fractions 65/75, 30/40, 50/60
- GCF of Fractions 1/4, 3/4, 5/4
- GCF of Fractions 3/8, 3/4
- GCF of Fractions 1/3, 1/3
- GCF of Fractions 1/4, 3/8
- GCF of Fractions 10/3, 15/8
- GCF of Fractions 45/180, 75/225, 100/270
- GCF of Fractions 2/3, 14/3
- GCF of Fractions 9/27, 28/36, 42/45, 48/56
- GCF of Fractions 63/16, 28/25
- GCF of Fractions 4/3, 5/7
- GCF of Fractions 5/2, 6/5, 1/7
- GCF of Fractions 2/3, 4/5
- GCF of Fractions 1/2, 1/3
- GCF of Fractions 1/2, 1/4
- GCF of Fractions 13/75, 39/150, 78/135
- GCF of Fractions 32/40, 64/48, 80/60, 128/95
- GCF of Fractions 5/12, 1/4, 1/3

- GCF of Fractions 15/24, 20/28, 25/32
- GCF of Fractions 63/1, 28/1, 35/1, 21/1, 147/4, 77/2, 63/2, 315/2, 49/2, 35/2
- GCF of Fractions 7/3, 7/6
- GCF of Fractions 1/2, 2/3
- GCF of Fractions 1/3, 1/2
- GCF of Fractions 1/3, 4/5
- GCF of Fractions 21/2, 31/8
- GCF of Fractions 3/4, 1/4
- GCF of Fractions 1/3, 3/4
- GCF of Fractions 2/3, 2/9
- GCF of Fractions 2/3, 6/7
- GCF of Fractions 2/9, 8/21
- GCF of Fractions 3/4, 2/3
- GCF of Fractions 144/144, 180/180, 300/198
- GCF of Fractions 15/4, 3/8
- GCF of Fractions 3/1, 15/4
- GCF of Fractions 5/3, 5/8
- GCF of Fractions 1/2, 3/4
- GCF of Fractions 1/3, 2/3
- GCF of Fractions 1/3, 4/3
- GCF of Fractions 2/3, 5/3
- GCF of Fractions 3/4, 2/5
- GCF of Fractions 3/5, 1/4, 1/2
- GCF of Fractions 45/4, 14/5
- GCF of Fractions 7/12, 9/30, 14/42, 19/72

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

**Step 1:** Let suppose both the fractions are a/b and c/d

**Step 2:** GCF of two numbers is the lowest/smallest number that is a multiple of both

The HCF of two numbers is the largest number that is a fraction of both.

**Example: Find the GCF of Fractions for 2/9, 8/21?**

Solution:

Given numbers are 2/9, 8/21

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 2, 8

Greatest Common Factor of Numerators i.e. GCF of 2, 8 is 2.

LCM of Denominators means LCM of 9, 21 as per the given fractions.

LCM of 9, 21 is 63 as it is the smallest common factor for both these numbers.

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63

Therefore, the GCF of Fractions 2/9 and 8/ 21 is 8/3

Visit our site lcmgcf.com and find different types of calculators for maths concepts like LCM, GCF, HCF, etc. at one place which makes it easy to calculate all lengthy math problems.

- 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

**1. How to find GCF in Fractions?**

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 1/3 and 2/5?**

GCF of Numerators as per given numbers 1/ 3 and 2/ 5 is

GCF of Numerators i.e. for 1, 2 is 1

LCM of Denominators as per the given numbers

LCM of denominators i.e. for 3, 5 is 15

Thus, GCF of Fractions is 1/15.

Finally, GCF of Fractions for 1/ 3 and 2/ 5 is 1/15.

**3. Where can I find GCF of Fractions of Solved Examples? **

You can find GCF of Fractions for various Solved Examples on our page. Use them and get to know the concepts easily.

We believe the data shed above regarding the GCF of fractions has been useful in finding the Greatest Common Factor of Fractions. If you want any assistance on further examples leave us your comment so that we can get back to you with possible guidance.