👤

1832; 2927; 2572 impartite la acelas numar se obtin resturile 17; 23 respectiv 31. AFLATI IMPARTITORUL... REPEDE

Răspuns :

1832:363=5 rest 17
2927:363=8 rest 23
2572:363=7 rest 31

x=363
c={5;8;7)
r={17;23;31}
1832 : x = a rest 17 =>xa =1832-17=1815
2927 : x=b rest 23 =>xb = 2927-23=2904
2572 :x =c rest 31 =>xc = 2572-31 =2541

1815 = 3 ×5 × 11^2
2904 = 2^3 ×3 ×11^2
2541 = 3 × 7 ×11^2
---------------------------
c.m.m.d.c = 11^2×3 =363

x =363

1832 : 363 = 5 rest 17
2927 : 363 = 8 rest 23
2572 : 363 = 7 rest 31