Question

cum se face repede repede

Answer 1

a) 441 = 3^2 x 7^2 
    484 = 2^2 x 11^2, deci prime intre ele, (441,484) = 1, adevar
b) 1970= 2 x 5x 197; 1998= 2 x 3^3 x 37
    (1970, 1998) = 2, deci fals ca ar fi 1
c) 576 = 2^6 x 3^2 si 961= 31^2, deci prime intre ele, (576,961) = 1 ≠ 3, deci presupunerea initiala este falsa

d) 192 = 2^6 x 3 si 537 = 3x179, deci cmmdc = 3≠2, deci presupunere initiala falsa

Answer 2

a)
441=3²·7²
484=2²·11²
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(441;484)=1 ⇒ adevarat

b)
1970=2·5·197
1998=2·3³·37
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(1970;1998)=2
(1970;1998)=1 ⇒ fals 

c)
576=2⁶·3²
961=31²
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(576;961)=1 
(576;961)=3 ⇒ fals

d)
192=2⁶·3
537=3·197
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(192;537)=3 
(192;537)=2 ⇒ fals