GCF of Decimals Calculator | How to find Greatest Common Factor of Decimals

Based on the guidelines below regarding Greatest Common Factor you will get the solution easily and understand the method of finding GCF for two numbers in decimal. Find the GCF/HCF of two numbers in Decimal easily by following the simple steps listed over here

Step 1: Convert each of the decimals to like decimals by multiplying with 10, 100, 1000….

Just in case you want to find the GCF of 0.9 and 0.63, find the number having more digits after the decimal point. In this case, the 0.63 has more decimal places and has two digits after the decimal point.

Multiply both the numbers 0.9 and 0.63 by 100 to make them as integers.

Step 2: After multiplying with 10,100, or 1000…. find the GCF of the integers you got in the first step.

Step 3: Divide the GCF you got in the second step by the corresponding number you multiplied in step 1.

Go through the Step by Step explanation on how to Greatest Common Factor of Two numbers in decimals.

Example 1: Find the greatest common factor of 0.90 and 0.63?

Solution:

In the given numbers 0.90 and 0.63 we are having equal digits after decimal point. That is two digits.

To get rid of the decimal point multiply each of the numbers with 100. On doing so you will get the results as such

0.90 x 100 = 90

0.63 x 100 = 63

GCF of 90 and 63 is 9

Divide the GCF(9) by 100 as we multiplied by it to make the given numbers as integers in the initial step.

By dividing the GCF we get = 9/100 = 0.09

Therefore the Greatest Common Factor of 0.90 and 0.63 is 0.09

Example 2: Find the GCF of 0.54 and 0.27?

Solution:

In the given numbers 0.54 and 0.27 we have equal number of digits after decimal point i.e is 2 digits

To get rid of the decimal point multiply both of them with 100 and you will get the result as such

0.54 x 100 = 54

0.27 x 100 = 27

Find the GCF of 54, 27

Greatest Common Factor of 54, 27 is 27

Divide the GCF obtained by 100 as we have multiplied by it to make the given numbers as integers.

Divide the GCF/HCF obtained 27/100 = 0.27

So, the greatest common factor is 0.27

In mathematics, Factors are whole numbers that are multiplied together to get another number or a product. A factor of a number that is an exact divisor.

Additionally, a common factor is defined as a number that can be divided into two or more different numbers without leaving a remainder or is common in a given set of factors of different numbers.

What is the Formula for GCF?

In mathematics, the greatest common factor (GCF) of two or more integers, which are not all zero, is the greatest positive integer that divides each of the integers. For two integers a and b, the greatest common factor of a and b is represented by GCF(x, y). In the name "greatest common factor", the adjective "greatest" may be replaced by "highest", and the word "factor" may be replaced by "divisor", which other names include the highest common factor (HCF), etc. Historically, additional names for the same theory have included the greatest common measure also.

Formula - 

LCM(a, b) = |a•b| / gcd(a, b) 

here, 

LCM = Least common multiple

gcd =Greatest common divisor

a & b = non-zero integer

GCF of Decimals with Step-by-Step Explanation

To evaluate the GCF/HCF of two numbers in Decimal follow the simple steps listed over here, 

• Convert each of the decimals to Like decimals by multiplying them by 10, 100, and 1000….

• After multiplication by 10,100, or 1000…. Compute the GCF of the integers you got in the first step.

• Divide the GCF you got in the 2nd step by the interrelated number you multiplied in step 1.

Solved Example for Finding Greatest Common Factor for Decimals 

Example :

Find the greatest common factor or GCF of 0.90 and 0.63.

Solution:

As we can see in the given numbers 0.90 and 0.63, there are equal digits after the decimal point. That is two numbers.

To take out the decimal point, multiply each of the numbers by 100. By doing so we will get the outcomes 

0.90 x 100 = 90

0.63 x 100 = 63

GCF of 90 and 63 are 9

Divide the Greatest common factor or GCF(9) by 100 as we multiply by it to make the given numbers integers in the early step.

After dividing the GCF we get = 9/100 = 0.09

Thus, the Greatest Common Factor of 0.90 and 0.63 is 0.09.

Visit hcflcm.com to clear all your doubts, and understand the concepts all while solving your questions by using our free tools available.

FAQs on Free Online GCF of Decimals Calculator 

• How do you find the greatest common factor with decimals?

For determining the greatest common factor of numbers with decimals(having two digits after decimal)multiply the decimal numbers by 100 and convert them into integers. 

• What is the GCF of 1.5 and 6?

1.5 is the Greatest Common Factor of 1.5 and 6.

• How do you find the GCF and LCM of decimals?

The GCF and LCM can be simply calculated for decimals by removing the decimal points and considering the number of digits after the decimal.

• Are decimals considered factors?

No, factors can never be in the form of numbers since factors can be integers or whole numbers only.