HOW TO FIND HCF OF TWO NUMBERS IN DECIMAL

The largest number which can divide the given two or more numbers evenly is called their highest common factor (HCF).

In this section, we will learn, how to find highest common factor of two or more numbers in decimal.

The following steps would be useful to find HCF of two numbers in decimal.

Example 1 :

Find the highest common factor of 0.90 and 0.30.

Solution :

In the given two numbers 0.90 and 0.30, we find equal number of digits after the decimal point in both the numbers. That is, two digits.

To get rid of the decimal point, we have to multiply each number by 100.

0.90 ⋅ 100 = 90

0.30 ⋅ 100 = 30

Find the HCF of 90 and 30.

HCF of 90 and 30 is 30.

Divide the HCF by 100.

30/100 = 0.3

So, the highest common factor of 0.90 and 0.30 is 0.3.

Example 2 :

Find the highest common factor of 0.36 and 0.27.

Solution :

In the given two numbers 0.36 and 0.27, we find equal number of digits after the decimal point in both the numbers. That is, two digits. 

To get rid of the decimal point, we have to multiply each number by 100.

0.36 ⋅ 100 = 36

0.27 ⋅ 100 = 27

Find the HCF of 36 and 27.

HCF of 36 and 27 = 9.

Divide the HCF by 100.

9/100 = 0.09

So, the highest common factor of 0.36 and 0.27 is 0.09.

Example 3 :

Find the highest common factor of 0.75 and 0.45.

Solution :

In the given two numbers 0.75 and 0.45, we find equal number of digits after the decimal point in both the numbers. That is, two digits. 

To get rid of the decimal point, we have to multiply each number by 100.

0.75 ⋅ 100 = 75

0.45 ⋅ 100 = 45

Find the HCF of 75 and 45.

HCF of 75 and 45 is 15.

Divide the HCF by 100.

15/100 = 0.15

So, the highest common factor of 0.75 and 0.45 is 0.15.

Example 4 : 

Find the highest common factor of 0.36 and 0.72.

Solution :

In the given two numbers 0.36 and 0.72, we find equal number of digits after the decimal point in both the numbers. That is, two digits. 

To get rid of the decimal point, we have to multiply each number by 100.

0.36 ⋅ 100 = 36

0.72 ⋅ 100 = 72

Find the HCF of 36 and 72.

HCF of 36 and 72 is 12.

Divide the HCF by 100.

12/100 = 0.12

So, the highest common factor of 0.36 and 0.72 is 0.12.

Example 5 :

Find the highest common factor of 0.72 and 0.63.

Solution :

In the given two numbers 0.72 and 0.63, we find equal number of digits after the decimal point in both the numbers. That is, two digits. 

To get rid of the decimal point, we have to multiply each number by 100.

0.72 ⋅ 100 = 72

0.63 ⋅ 100 = 63

Find the HCF of 72 and 63.

HCF of 72 and 63 is 9.

Divide the HCF by 100.

9/100 = 0.09

So, the highest common factor of 0.36 and 0.72 is 0.09.

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