Euclid's Division Algorithm Quiz
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Questions and Answers

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?

  • 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?

  • 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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