Easy prime number question. Need help or answer

Algebra
Tutor: None Selected Time limit: 1 Day

How many natural numbers between 43 and 274 are relatively prime to 15? And how could you determine how many natural numbers were relatively prime to 15 between any pair of natural numbers, a and b?

Jun 1st, 2015

There are 230 natural numbers between 43 and 274 (I assumed this to mean not inclusive). 77 are divisible by 3, 46 are divisible by 5, but 18 are divisible by both 3 and 5. 230 - 77 - 46 + 18 = 125. If you assume INCLUSIVE of 43 and 274, both are relatively prime to 15, so it would be 127.

Jun 1st, 2015

Thanks, but I need to know how this result was found.

Jun 3rd, 2015

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Jun 1st, 2015
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Jun 1st, 2015
May 29th, 2017
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