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Questions and Answers
In the context of Euclid’s division algorithm, what does the remainder r satisfy?
In the context of Euclid’s division algorithm, what does the remainder r satisfy?
- r is always 0
- r > b
- r < b (correct)
- r = b
What is the main application of Euclid’s division algorithm?
What is the main application of Euclid’s division algorithm?
- Finding the prime factorization of a number
- Determining the LCM of two positive integers
- Computing the HCF of two positive integers (correct)
- Solving linear equations
What does Euclid’s division algorithm state for any positive integer a and another positive integer b?
What does Euclid’s division algorithm state for any positive integer a and another positive integer b?
- a can be divided by b leaving a remainder r greater than b
- a can be divided by b leaving no remainder
- a can be divided by b leaving a remainder r smaller than b (correct)
- a can be divided by b leaving a remainder r equal to b
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