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# Which positive integers less than 30 are relatively prime ISBN: 9780073383095 37

## Solution for problem 15E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 15E

Which positive integers less than 30 are relatively prime to 30?

Step-by-Step Solution:
Step 1 of 3

Step1

To find

We have to find positive integers less than 30  are relatively prime to 30?

Step2

A Prime Number can be divided uniformly only by 1, or itself. And it must be an entire number greater than 1.

Relatively prime:-Two integers x and y are said to be relatively prime if the only positive integer that divides both of them is 1.

For the relatively prime to 30 we have to find greatest common divisor(gcd) for all  prime number which is less than 30 means 1,2,3,5,7,11,13,17,19,23,29.

Now

gcd(1,30)=1

gcd(2,30) gcd(3,30)

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073383095

This full solution covers the following key subjects: integers, less, Positive, prime, relatively. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 15E from chapter: 4.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 15E from 4.3 chapter was answered, more than 331 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “Which positive integers less than 30 are relatively prime to 30?” is broken down into a number of easy to follow steps, and 11 words.

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