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Home > College Algebra > Euclid's Algorithm example
6. Euclid's Algorithm example ( Enter your problem )
( Enter your problem )

1. Examples


1. Euclid's Algorithm for `35` and `20`

Solution:
Find HCF of 35,20

  
1
  
20|
35
 |
20
 
1
 |
 
 |
15
|
20
|
15
 
3
|
 
|
5
|
15
|
15
|
|
0


`:.` HCF of `35,20 = 5`

2. Euclid's Algorithm for `45` and `36`

Solution:
Find HCF of 45,36

  
1
  
36|
45
 |
36
 
4
 |
 
 |
9
|
36
|
36
|
|
0


`:.` HCF of `45,36 = 9`

3. Euclid's Algorithm for `60` and `36`

Solution:
Find HCF of 60,36

  
1
  
36|
60
 |
36
 
1
 |
 
 |
24
|
36
|
24
 
2
|
 
|
12
|
24
|
24
|
|
0


`:.` HCF of `60,36 = 12`


This material is intended as a summary. Use your textbook for detail explanation.
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