Problem 1379
A relatively prime day is a day in which the number of the month and the number of the day are relatively prime. For example, April 9th is 4/9; 4 and 9 which are relatively prime because the GCD (Greatest Common Divisor) = 1. Our previous month June has fewest number of relatively prime days for any month. How many relatively prime days does the month of June have out of the 30 days in June?
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