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Question
Show that the following pairs are co-primes:
512, 945
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Solution
Given numbers are 512 and 945.
3| 945____
512 = 2 × 2 ×2 × 2 × 2× 2 × 2× 2 × 2 = 29
945 = 3 × 3 × 3 × 5 × 7 = 33 × 5 × 7
Thus, the HCF of 512 and 945 is 1.
∴ 512 and 945 are co-primes.
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