Greatest Common Divisor and Division Quiz

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10 Questions

What is the definition of the greatest common divisor (GCD)?

The largest divisor that is common to all the numbers of a group

What are the four numerical elements involved in a division operation?

Dividend, Divisor, Quotient, Remainder

If the division of two numbers leaves a remainder of 0, what can be said about the divisor?

It exactly divides the dividend

What is the GCD of 24 and 36?

$GCD(24, 36) = 12$

What does the GCD of various groups of numbers share?

They share certain common properties

What is the property of GCD that ensures the result does not change when the order of the elements being operated on is changed?

Commutative

What method utilizes the prime factors of the numbers to determine their GCD?

Prime factorization method

What is the GCD of 24 and 36 using Euclid's algorithm?

$12$

Calculate the GCD of 56, 72, and 84 using the prime factorization method.

$12$

What is the property of GCD that allows it to be individually operated on the elements of a group?

Distributive

Test your knowledge of greatest common divisor and division with this quiz. Explore the fundamental concepts of division, including dividend, divisor, quotient, and remainder. Understand the relationship between these elements in the context of mathematical operations.

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