Set 1, abstract:
Question 1.) What is the relationship between the gcd and lcm of two positive integers, a and b?
hmmm, I honestly have no clue at all
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.
well, I'd have to say 0, 10, 100, and 1000 are probably the most important numbers in my opinion
just think about it, multiply anything times 0 and you get 0, or add anything to 0 and the sum doesn't change from the original number
as for 10, 100, and 1000, they create the easiest numbers to multiply and divide by, simple as that, as well as in addition and subtraction
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?
lcm: 252 gcd: 12 3024
Question 2.) If the product of two numbers, a and b, is 1024 and their lcm 4096, what must their gcd be?
4?
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