Răspuns :
1 ) 54 = 2 X 3 la puterea 3
36 = 2 la puterea 2 X 3 la puterea 2
cmmdc (54 ; 36) = 2 X 3 la puterea 2 = 18 .
2 ) 2244 = 2 la puterea 2 X 3 X 11 X 17
220 = 2 la puterea 2 X 5 X 11
cmmdc (2244,220 ) = 2 la puterea 2 X 11 = 44
3 ) 231 = 3 X 7 X 11
99 = 3 la puterea 2 X 11
cmmdc (231;99) = 3 X 11 =33
4 ) 1890 = 2 X 3 la puterea 3 X 5 X 7
2268 = 2 la puterea 2 X 3 la puterea 4 X 7
cmmdc (1890 ; 2268) = 2 X 3 la puterea 3 X 7 = 378
36 = 2 la puterea 2 X 3 la puterea 2
cmmdc (54 ; 36) = 2 X 3 la puterea 2 = 18 .
2 ) 2244 = 2 la puterea 2 X 3 X 11 X 17
220 = 2 la puterea 2 X 5 X 11
cmmdc (2244,220 ) = 2 la puterea 2 X 11 = 44
3 ) 231 = 3 X 7 X 11
99 = 3 la puterea 2 X 11
cmmdc (231;99) = 3 X 11 =33
4 ) 1890 = 2 X 3 la puterea 3 X 5 X 7
2268 = 2 la puterea 2 X 3 la puterea 4 X 7
cmmdc (1890 ; 2268) = 2 X 3 la puterea 3 X 7 = 378
1) (54;36) = 18 se obtine din descompunerea numerelor in factori primi ...
2) (2244;220) = 44 ; idem
3) (231;99) = 33 ; idem
4) (1890;2268)= 2 ; idem
2) (2244;220) = 44 ; idem
3) (231;99) = 33 ; idem
4) (1890;2268)= 2 ; idem