×
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.se - Problem 25e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.se - Problem 25e

×

# Use the Euclidean algorithm to find the greatest common

ISBN: 9780073383095 37

## Solution for problem 25E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 279 Reviews
30
0
Problem 25E

Problem 25E

Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341.

Step-by-Step Solution:
Step 1 of 3

Solution:

Step1

To find

We have to find the greatest common divisor of 10,223 and 33,341 using the Euclidean algorithm.

Step2

Given that

10,223 and 33,341

By using the Euclidean algorithm( The Euclidean algorithm, is a productive technique for figuring the best regular divisor(GCD) of two numbers, the biggest number that partitions them two without leaving a remainder.It depends on the rule that the best normal divisor of two numbers does not change if the bigger number is supplanted by its distinction with the more modest number.

)

Here Divisor=10223

Dividend=33341

10223=

=

2207=

465=

347=

118=

111=

7=

6=

Therefore, the greatest common divisor of 10,223 and 33,341 using the Euclidean algorithm is 1.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073383095

Since the solution to 25E from 4.SE chapter was answered, more than 370 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Algorithm, common, divisor, euclidean, Find. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341.” is broken down into a number of easy to follow steps, and 14 words. The full step-by-step solution to problem: 25E from chapter: 4.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

#### Related chapters

Unlock Textbook Solution