10/10/10 Post

Set 1.
1) The relationship between the gcd and lcm of a & b is that the gcd will always be a divisor of the lcm.
2) I think the most important numbers in mathematics are 2, 3, 5, and 7. I think this because they are the four prime numbers, and you can do many things with them. With 2 you can tell if something is even or odd by dividing that number by 2 and seeing if there is a remainder. If there is one, then the number is odd. I also think 3, 5, and 7 are important because they are the next smallest primes and are used very often when dealing with prime factorization.

Set 2.
1) LCM[36,84] = 12
GCD[36,84] = 252
36 * 84 = 3024 = 12 * 252 = LCM*GCD

2) a*b = 1024
lcm[a,b] = 4096
gcd[a,b] = ?
lcm*gcd = product
gcd = product/lcm
gcd = 1024/4096
gcd = 1/4
I don't think that there can be a non-integer gcd, so I therefore think this is probably wrong.

Ryan Breaud