Question

Afla c.m.m.d.c al tripletelor de numere
a )36,16,48
b)8,24,36
c)15,36,12
d)20,30,40,
e)126,162,270
f)360, 2700,630


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Answer 1

Răspuns:

Explicație pas cu pas:

a) 36 , 16 , 48

36 = 3² x 2² ; 16 = 2⁴ ; 48 = 2⁴x3  => cmmdc (36,16,48) = 2² = 4

b) 8 , 24 , 36

8 = 2³ ; 24 = 2³x3 ; 36 = 2²x3² => cmmdc (8,24,36) = 2² = 4

c)15 ; 36 ; 12

15 = 3x5 ; 36 = 2²x3² ; 12 = 3x2² => cmmdc (15,36,12) = 3

d) 20,30,40

20 = 2²x5 ; 30 = 2x3x5 ; 40 = 2³x5 => cmmdc (20,30,40) = 2x5 = 10

e) 126,162,270

126 = 2x3²x 7 ; 162 = 2x3⁴ ; 270 = 2x5x3³ =>

cmmdc (126,162,270) = 2x3² = 18

f) 360, 2700,630

360 = 2³x5x3² ; 2700 = 2²x3³x5² ; 630 = 2x3²x5x7

=> cmmdc (360,2700,630) = 2x3²x5 = 90