Răspuns :
Răspuns
Explicație pas cu pas:
a) 24; 48
24 = 2³ × 3
48 = 2⁴ x 3
__________
c.m.m.d.c al numerelor ( 24; 48 ) = 2³ x 3 = 24
c.m.m.m.c. al numerelor ( 24 si 48 ) = 2⁴ x 3 = 48
_____________________________________
b) 120 si 180
120 = 12 x 10 = 2³ x 3 x 5
180 = 18 x 10 = 3² x 2² x 5
______________________
c.m.m.d.c al numerelor ( 120 si 180 ) = 2² x 3 x 5 = 60
c.m.m.m.c al numerelor ( 120 si 180 ) = 2³ x 3² x 5 = 360
_______________________________________________
c) 35 si 145
35 = 5 x 7
145 = 5 x 29
__________
c.m.m.d.c al numerelor ( 35 si 145 ) = 5
c.m.m.m.c al numerelor ( 35 si 145 ) = 5 x 7 x 29 = 1 015
______________________________________________
d) 216 si 432
216 = 2³ x 3³
432 = 2⁴ x 3³
_____________
c.m.m.d.c al numerelor ( 216 si 432 ) = 2³ x 3³ = 216
c.m.m.m.c. al numerelor ( 216 si 432 ) = 2⁴ x 3³ = 432
_____________________________________________
e) 120 si 77
120 = 2³ x 3 x 5
77 = 7 x 11
____________
c.m.m.d.c al numerelor ( 120 si 77 ) = 1
c.m.m.m.c. al numerelor ( 120 si 77 ) = 120 x 77 = 9 240
______________________________________________
f) 324 si 180
324 = 2² x 3⁴
180 = 2² x 3² x 5
______________
c.m.m.d.c al numerelor ( 324 si 180 ) = 2² x 3² = 36
c.m.m.m.c. al numerelor ( 324 si 180 ) = 2² x 3⁴ x 5 = 1 620
Răspuns
poza atasata
Explicație pas cu pas:
Descompunem in factori primi si selectam
pt: cmmmc factorii comuni si necomuni la puterea cea mai mare
si
pt cmmdc factorii comuni la puterea cea mai mare.
![Vezi imaginea Chris02Junior](https://ro-static.z-dn.net/files/d4a/709481de4b8cdacfce257feaa4789fba.jpg)