Highest Common Factor
Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly.
Now we will learn about the method of finding highest common factor (H.C.F).
Steps 1:
Find all the factors of each given number.
Step 2:
Find common factors of the given number.
Step 3:
The greatest of all the factors obtained in Step 2, is the required highest common factor (H.C.F).
For Example:
1. Find the highest common factor (H.C.F) of 6 and 9.
Factors of 6 = 1, 2, 3 and 6.
Factors of 9 = 1, 3 and 9.
Therefore, common factor of 6 and 9 = 1 and 3.
Highest common factor (H.C.F) of 6 and 9 = 3.
Therefore, 3 is H.C.F. or G.C.D. greatest common divisor of 6 and 9.
H.C.F. or G.C.D. of given numbers is the greatest number which divides all the numbers without leaving a remainder.
2. Find the highest common factor (H.C.F) of 6 and 8.
Factors of 6 = 1, 2, 3 and 6.
Factors of 8 = 1, 2, 4 and 8.
Therefore, common factor of 6 and 8 = 1 and 2.
Highest common factor (H.C.F) of 6 and 8 = 2.
Therefore, 2 is H.C.F. or G.C.D. greatest common divisor of 6 and 8.
3. Find the highest common factor (H.C.F) of 14 and 18.
Factors of 14 = 1, 2, 7 and 14.
Factors of 18 = 1, 2, 3, 6, 9 and 18.
Therefore, common factor of 14 and 18 = 1 and 2.
Highest common factor (H.C.F) of 14 and 18 = 2.
Note: The highest common factor or HCF of two or more numbers is the greatest number that divides exactly the given numbers.
4. Find the highest common factor (H.C.F) of 15 and 10.
Factors of 15 = 1, 3, 5 and 15.
Factors of 10 = 1, 2, 5 and 10.
Therefore, common factor of 15 and 10 = 1 and 5.
Highest common factor (H.C.F) of 15 and 10 = 5.
5. Find the highest common factor (H.C.F) of 12 and 18.
Factors of 12 = 1, 2, 3, 4, 6 and 12.
Factors of 18 = 1, 2, 3, 6, 9 and 18.
Therefore, common factor of 12 and 18 = 1, 2, 3 and 6.
Highest common factor (H.C.F) of 12 and 18 = 6 [since 6 is the highest common factor].
6. Find the highest common factor (H.C.F) of 48 and 32.
Solution:
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
Factors of 32 = 1, 2, 4, 8, 16 and 32
Therefore, the common factors are 1, 2, 4, 8 and 16.
The highest common factor is 16.
Thus, highest common factor (HCF) of 48 and 32 is 16.
The common factors can be represented using venn diagram as given below.
7. Find the highest common factor (H.C.F) of 24 and 36.
Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12.
Highest common factor (H.C.F) of 24 and 36 = 12.
● Factors.
● Highest Common Factor (H.C.F).
● Examples on Highest Common Factor (H.C.F).
● Greatest Common Factor (G.C.F).
● Examples of Greatest Common Factor (G.C.F).
● To find Highest Common Factor by using Prime Factorization Method.
● Examples to find Highest Common Factor by using Prime Factorization Method.
● To find Highest Common Factor by using Division Method.
● Examples to find Highest Common Factor of two numbers by using Division Method.
● To find the Highest Common Factor of three numbers by using Division Method.
From Highest Common Factor to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Adding 1-Digit Number | Understand the Concept one Digit Number
Apr 26, 24 01:55 PM
Understand the concept of adding 1-digit number with the help of objects as well as numbers. -
Subtracting 2-Digit Numbers | How to Subtract Two Digit Numbers?
Apr 26, 24 12:36 PM
In subtracting 2-digit numbers we will subtract or minus a two-digit number from another two-digit number. To find the difference between the two numbers we need to ‘ones from ones’ and ‘tens from -
1st Grade Word Problems on Subtraction | Subtracting 2-Digit Numbers
Apr 26, 24 12:06 PM
In 1st grade word problems on subtraction students can practice the questions on word problems based on subtraction. This exercise sheet on subtraction can be practiced by the students to get more ide… -
Subtracting 1-Digit Number | Subtract or Minus Two One-Digit Number
Apr 26, 24 11:21 AM
In subtracting 1-digit number we will subtract or minus one-digit number from one-digit number or one-digit number from 2-digit number and find the difference between them. We know that subtraction me… -
Perimeter of a Square | How to Find the Perimeter of Square? |Examples
Apr 25, 24 05:34 PM
We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…