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bhavinsinh
I stumbled across this question:Suppose that a and b are relatively prime.Prove that ab and a+b are relatively prime.
Relatively prime numbers are two positive integers that have no common factors other than 1. This means that their greatest common divisor (GCD) is equal to 1.
To determine if two numbers are relatively prime, you can find their GCD using methods such as prime factorization, Euclid's algorithm, or the extended Euclidean algorithm. If the GCD is 1, then the numbers are relatively prime.
Yes, two prime numbers can be relatively prime. This is because prime numbers only have 1 and themselves as factors, so they will never have any common factors other than 1.
Examples of relatively prime numbers include 7 and 15, 12 and 25, and 3 and 10. These numbers have no common factors other than 1, so they are relatively prime.
Relatively prime numbers are important in mathematics because they have several applications in number theory, cryptography, and other areas of mathematics. They are also used in the construction of fractions and rational numbers, and in determining if two numbers are co-prime.