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Exploring GCD and LCM

Task

Explore the greatest common divisor (GCD) and least common multiple (LCM) of 18 and 24.

Instructions

1.GCD(18, 24) Type GCD(18, 24) into the Input Bar and press the Enter key to calculate the greatest common divisor of these numbers.
2.LCM(18, 24) Use the command LCM(18, 24) to calculate the least common multiple of these numbers.

Try it yourself...

Instructions (continued)

3.PrimeFactors(18)Use the command PrimeFactors(18) to get the prime factors of 18.
4.PrimeFactors(24)Calculate the prime factors of 24.
5. Compare how the prime factors of both numbers relate to the greatest common divisor calculated earlier.
6.PrimeFactors(#2)Enter PrimeFactors(#2) to calculate the prime factors of the LCM in row 2.
Hint: The shortcut #2 allows you to refer to the output of row 2.
7.Compare how the prime factors of both numbers relate to the prime factors of the least common multiple calculated earlier.