Odpowiedź:
Zadanie 8
a) 312 = 2 * 2 * 2 * 3 * 13 (j[tex]2^{3} *3*13)[/tex]
b) 455 = 5 * 7 * 13
c) 999 = 3 * 3 * 3 * 37 [tex](3^{3} * 37[/tex])
d) 2124 = 2 * 2 * 3 * 3 * 59 [tex](2^{2} *3^{2} *59)[/tex]
e) 3250 = 2 * 5 * 5 * 5 * 13 ([tex]2 *5^{3} *13)[/tex]
f) 5070 = 2 * 3 * 5 * 13 * 13 [tex](2*3*5*13^{2} )[/tex]
g) 6030 = 2 * 3 * 3 * 5 * 67 [tex](2*3^{2} *5*67)[/tex]
h) 4725 = 3 * 3 * 3 * 5 * 5 * 7 [tex](3^{3} *5^{2} *7)[/tex]
Zadanie 10
a) 300 i 72
300 = [tex]2^{2} *3*5^{2}[/tex]
72 = [tex]2^{3} *3^{2}[/tex]
NWD (300,72) = [tex]2^{2} *3=12[/tex]
NWW (300,72) = [tex]2^{3}*3^{2} *5^{2} =1800[/tex]
b) 210 i 357
210 = 2 * 3 * 5 * 7
357 = 3 * 7 * 17
NWD (210,357) = 3 * 7 = 21
NWW (210,357) = 2 * 3 * 5 * 7 * 17 = 3570
c) 154 i 242
154 = 2 * 7 * 11
242 = [tex]2*11^{2}[/tex]
NWD (154,242) = 2 * 11 = 22
NWW (154,242) = [tex]2*7*11^{2} =1694[/tex]
d) 333 i 185
333 = [tex]3^{2} *37[/tex]
185 = 5 * 37
NWD (333,185) = 37
NWW (333,185) = [tex]3^{2} *5*37=1665[/tex]
e) 440 i 198
440 = [tex]2^{3}*5*11[/tex]
198 = [tex]2*3^{2} *11[/tex]
NWD (440,198) = 2 * 11 = 22
NWW (440,198) = [tex]2^{3}*3^{2}*5*11=3960[/tex]
f) 2016 i 180
2016 = [tex]2^{5} *3^{2}*7[/tex]
180 = [tex]2^{2} *3^{2} *5[/tex]
NWD (2016,180) = [tex]2^{2} *3^{2} =36[/tex]
NWW (2016,180) = [tex]2^{5} *3^{2} *5*7 =10 080[/tex]
