Common Denominator Calculator

Common Denominator Calculator is an online tool that calculates and displays a common denominator for a given set of fractions.

What Is a Common Denominator Calculator?

A 'Common Denominator Calculator' is an online tool that calculates and displays a common denominator for a given set of fractions. Cuemath's 'Common Denominator Calculator' helps you to calculate faster and gives you the common denominator of any two set of fractions within a few seconds.

Note: Please enter only upto 2 digits in each input box.

How to Use the Common Denominator Calculator?

Follow these simple steps to use the calculator:

• Step 1: Enter any two set of fractions in the respective input boxes.
• Step 2: Click on "Calculate" to get the common denominator for both the fractions.
• Step 3: Click on "Reset" to clear the field and enter the new set of fractions.

How to Make the Denominators Common?

There are two simple steps to get a common denominator for a given set of fractions.

• Step 1:  Find the Least Common Multiple (LCM) of the denominators of the fractions.
• Step 2:  Multiply the fraction with an appropriate number, such that the denominators of the fractions are equal to the LCM value.

Let us understand this with the help of the following example.

Solved Examples:

Find the common denominator for 3/4 and 1/6. 

Solution:

The given fractions are 3/4 and 1/6.

The LCM of 4 and 6 =  12. Now, let us use this LCM.

In the first fraction, the denominator is 4. Now, we will have to check the number that we need to multiply this 4 by, to make it 12 (12 ÷ 4 = 3, here it's 3). Therefore, we multiply 3/4 by 3 so that the fraction becomes 9/12

In the second fraction, the denominator is 6. Again, we will have to check the number that we need to multiply this 6 by, to make it 12 (12 ÷ 6 = 2, here it's 2). Therefore, we multiply 1/6 by 2 so that the fraction becomes 2/12

Hence, we get 9/12 and 2/12 which have a common denominator 12 and they are the equivalent fractions of 3/4 and 1/6 respectively.

Now, try the calculator to find the common denominator for the following set of fractions.

• 4/5 and 3/11
• 12/17 and 15/51
• 7/11 and 14/19