Subscribe to our YouTube channel for the latest videos, updates, and tips.


Examples to find Highest Common Factor of Two Numbers by using Division Method

We will learn step-by-step with the help of examples to find highest common factor of two numbers by using division method.

1. Find highest common factor (H.C.F) of 180 and 270 by using division method. 

Solution:

Examples to find Highest Common Factor of two numbers by using Division Method

Step I: Here we need to divide 270 by 180. 

[Divide the larger number by the smaller one]. 

Step II: The first divisor is 180 and the remainder is 90, so we need to divide 180 by 90. 


[Divide the first divisor by the first remainder]. 



Step III: The remainder becomes 0. 



Step IV: Therefore, highest common factor = 90

[The last divisor is the required highest common factor (H.C.F) of the given numbers].



2. Find highest common factor (H.C.F) of 852 and 1065 by using division method. 

Solution:

H.C.F of 852 and 1065 by using Division Method

Step I: Here we need to divide 1065 by 852. 

[Divide the larger number by the smaller one]. 



Step II: The first divisor is 852 and the remainder is 213, so we need to divide 852 by 213. 

[Divide the first divisor by the first remainder]. 



Step III: The remainder becomes 0. 



Step IV: Therefore, highest common factor = 213. 

[The last divisor is the required highest common factor (H.C.F) of the given numbers].


3. Find the H.C.F. of 300 and 396 by long division method.

Solution:

300, 396

H.C.F. of 300 and 396 by Long Division Method

So, highest common factor = 12

The long division method is used to find the H.C.F. of large numbers.



● Factors.

 Common Factors.

 Prime Factor.

● Repeated Prime 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).

 Prime Factorisation.

 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.







5th Grade Numbers Page 

5th Grade Math Problems 

From Examples to find Highest Common Factor of Two Numbers by using Division Method 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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 10, 25 11:41 AM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More