Question

calculeaza c.m.m.d.c si c.m.m.m.c pentru numerele 220 160 300

Answer 1

Răspuns

220 = 2²ₓ5ₓ11

160 = 2⁵ₓ5

300 = 2²ₓ3ₓ5²

cmmdc = 2²ₓ5 = 20

cmmmc = 2⁵ₓ3ₓ5²x11 = 26400

Answer 2

Răspuns

220;2=110 ; 110:2=55 ; 55=5x11 ; ⇒ 220 = 2²x5x11 ;

160:2=80 ; 80:2=40 ; 40:2=20 ; 20:2=10 ; 10=2x5 ; ⇒160 = $2^{5}$x5 ;

300:2=150 ; 150:2=75 ; 75:3=25 ; 25=5x5 ; ⇒ 300 = 2²x3x5² ;

cmmmc[220,160,300] = $2^{5}$x3x5²x11 = 32x3x25x11 = 26400 ;

cmmdc(220,160,300) = 2²x5 = 4x5 = 20 ;