Computing greatest common divisor and least common multiple
1. Each row in the following table contains values for the
integers a and b. In this table, the value of r is the remainder (from the
Division Algorithm) when a is divided by b. Complete each row in this table by
determining gcd(a, b), r, and gcd(b, r).
a b gcd(a, b) Remainder r gcd(b,
r)
44 12
75 21
50 33
2. Formulate a conjecture based on the results of the table
in Part (1).
3. Find two rational numbers with denominators 9 and 15,
respectively, whose sum is equal to 10/225 or explain why it is not possible to
do so.
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