Podcast
Questions and Answers
What is the definition of the greatest common divisor (GCD)?
What is the definition of the greatest common divisor (GCD)?
- The number performing the division
- The number left over after division
- The largest divisor that is common to all the numbers of a group (correct)
- The result of a division operation
What are the four numerical elements involved in a division operation?
What are the four numerical elements involved in a division operation?
- Coefficient, Variable, Constant, Exponent
- Addend, Subtrahend, Product, Sum
- Dividend, Divisor, Quotient, Remainder (correct)
- Base, Power, Radical, Index
If the division of two numbers leaves a remainder of 0, what can be said about the divisor?
If the division of two numbers leaves a remainder of 0, what can be said about the divisor?
- It is called a common divisor
- It is not a factor of the dividend
- It is called a greatest common divisor
- It exactly divides the dividend (correct)
What is the GCD of 24 and 36?
What is the GCD of 24 and 36?
What does the GCD of various groups of numbers share?
What does the GCD of various groups of numbers share?
What is the property of GCD that ensures the result does not change when the order of the elements being operated on is changed?
What is the property of GCD that ensures the result does not change when the order of the elements being operated on is changed?
What method utilizes the prime factors of the numbers to determine their GCD?
What method utilizes the prime factors of the numbers to determine their GCD?
What is the GCD of 24 and 36 using Euclid's algorithm?
What is the GCD of 24 and 36 using Euclid's algorithm?
Calculate the GCD of 56, 72, and 84 using the prime factorization method.
Calculate the GCD of 56, 72, and 84 using the prime factorization method.
What is the property of GCD that allows it to be individually operated on the elements of a group?
What is the property of GCD that allows it to be individually operated on the elements of a group?