Zad 9. Podaj NWD i NWW liczb:
a) 5 i 7
b) 4 i 6
c) 10 i 12
d) 8 i 12
e) 100 i 150
f) 82 i 44


Zad 9 Podaj NWD I NWW Liczb A 5 I 7 B 4 I 6 C 10 I 12 D 8 I 12 E 100 I 150 F 82 I 44 class=

Odpowiedź :

Odpowiedź:

a) 5 i 7

5 = 5

7 = 7

NWD (5,7) = 1

NWW (5,7) = 5 * 7 = 35

b) 4 i 6

4 = [tex]2^{2}[/tex]

6 = 2 * 3

NWD (4,6) = 2

NWW (4,6) = [tex]2^{2} * 3=12[/tex]

c) 10 i 12

10 = 2 * 5

12 = [tex]2^{2} *3[/tex]

NWD (10,12) = 2

NWW (10,12) = [tex]2^{2} *3*5=60[/tex]

d) 8 i 12

8 = [tex]2^{3}[/tex]

12 = [tex]2^{2}*3[/tex]

NWD (8,12) = [tex]2^{2} =4[/tex]

NWW (8,12) = [tex]2^{3}*3=24[/tex]

e) 100 i 150

100 = [tex]2^{2} *5^{2}[/tex]

150 = [tex]2*3*5^{2}[/tex]

NWD (100,150) = [tex]2*5^{2} =50[/tex]

NWW (100,150) = [tex]2^{2} *3*5^{2} =300[/tex]

f) 82 i 44

82 = [tex]2*41[/tex]

44 = [tex]2^{2} *11[/tex]

NWD (82,44) = 2

NWW (82,44) = [tex]2^{2} *11*41=1804[/tex]

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