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What are Co-Prime Numbers? Video Lecture | Advance Learner Course: Mathematics (Maths) Class 5

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1. What are co-prime numbers?
Ans. Co-prime numbers, also known as relatively prime or mutually prime numbers, are a pair of integers that have no common positive integer factor other than 1. In other words, the greatest common divisor (GCD) of co-prime numbers is 1.
2. How can we determine if two numbers are co-prime?
Ans. To determine if two numbers are co-prime, we need to calculate their greatest common divisor (GCD). If the GCD is 1, then the numbers are co-prime. Otherwise, if the GCD is greater than 1, the numbers are not co-prime.
3. Can prime numbers be co-prime?
Ans. Yes, prime numbers can be co-prime. Since prime numbers only have two positive divisors (1 and the number itself), any pair of distinct prime numbers will not have any common divisors other than 1.
4. Are all pairs of consecutive numbers co-prime?
Ans. No, not all pairs of consecutive numbers are co-prime. Consecutive numbers always have a common divisor of 1, making them not co-prime. For example, 5 and 6 are not co-prime because their GCD is 1.
5. How can co-prime numbers be used in cryptography?
Ans. Co-prime numbers are used in various cryptographic algorithms, such as RSA encryption. In RSA, the security relies on the difficulty of factoring large composite numbers into their prime factors. Co-prime numbers are used as part of the key generation process to ensure the encryption algorithm's strength.
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