Find the sum of co-primes of 36 which are less than 36.
Explanation:
For a number n = ax × by × cz
Sum of co-primes of n, less than n is = n2×n1-1a1-1b1-1b
36 = 22 × 32
∴ The sum of co-primes less than 36 = 362×361-121-13 = 216.
Note: 1 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 25 + 29 + 31 + 35 = 216.
Hence, 216.
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