Hey everyone, sorry about last week. I managed to completely forget to post a prompt.
Anyways, here's this week's. It should be relatively laid back and mostly opinionated:
All questions are required:
Set 1, abstract:
Question 1.) What is the relationship between the gcd and lcm of two positive integers, a and b?
Question 2.) If you were asked to state what you think to be the four most important numbers to all of mathematics. I'm not asking for your lucky number, or 42, or 1337, or any other quirky/"clever" response. I want to know, mathematically speaking, what you think the four most important numbers are. P.S., the answer is not 1,2,3, and 4. (Also, there are no right or wrong answers, and if you REALLY think it's 1,2,3,4, just justify your answer VERY well.)
Justify briefly.
Set 2, concrete:
Question 1.) What is the lcm and gcd of the numbers 36 and 84? What is the product of 36 and 84?
Question 2.) If the product of two numbers, a and b, is 1024 and their lcm 4096, what must their gcd be?
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