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Find the total number of integer n such ...

Find the total number of integer `n` such that `2lt=nlt=2000` and H.C.F. of `n` and 36 is 1.

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To solve the problem of finding the total number of integers \( n \) such that \( 2 \leq n \leq 2000 \) and the H.C.F. of \( n \) and 36 is 1, we can follow these steps: ### Step 1: Understand the conditions We need to find integers \( n \) between 2 and 2000 such that \( \text{HCF}(n, 36) = 1 \). This means \( n \) should not share any prime factors with 36. ### Step 2: Factorize 36 The prime factorization of 36 is: \[ ...
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