Unformatted text preview: )) ⊆ ( D ( a ) ∩ D ( b )) . 2(e). Prove or disprove: for any positive integers a and b , one has ( D ( a ) ∩ D ( b )) ⊆ D (gcd( a,b )) . 3. Find integers M and N with the property that 213 M + 14 N = 1 , or explain why there are no such integers. 4(a). Give an example of integers a,b,c with the property that a | c and b | c but ab 6 | c . 4(b). Prove that if a,b,c are integers satisfying a | c and b | c and gcd( a,b ) = 1, then ab | c ....
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This note was uploaded on 02/10/2010 for the course MATH 74 taught by Professor Courtney during the Fall '07 term at Berkeley.
- Fall '07