Question

Znajdź NWW i NWD par liczb za 6 p + 4 naj a) 12 i 30 b) 24 i 56 c)48, 72 d) 32, 180;

Answer 1

a)

12 30 I 2
6 15 I 3
2 5 I
NWW (12,30)=5*12=60

NWD=(12,30)=2*3=6

b)
24 56 I 2
12 28 I 2
6 14 I 2
3 7 I
NWW (24,56)=7*24=168
NWD (24,56)=2*2*2=8
c)
48 72 I 2
24 36 I 2
12 18 I 2
6 9 I 3
2 3
NWW (48,72)=48*3=144
NWD (48,72)=2*2*2*3=24
d)
32 180 I 2
16 90 I 2
8 45
NWW (32,180) = 45*32=1440
NWD (32,180) = 2*2=4

 

Answer 2

a/

W(12)=12, 24, 36, 48, 60, 72,..

W(30)=30, 60, 90,..

NWW(12, 30)=60,

D(12)=1, 2, 3, 4, 6, 12,

D(30)=1, 2, 3, 5, 6, 10, 15, 30,

NWD(12, 30)=6,

b/

W(24)=24, 48, 72, 96, 120, 144, 168,..

W(56)=56, 112, 168, 214,..

NWW(24, 56)=168,

D(24)=1, 2, 3, 4, 5, 6, 8, 12, 24,

D(56)=1, 2, 4, 7, 8, 14, 28, 56,

NWD(24, 56)=8,

c/

W(48)=48, 96, 144,..

W(72)=72, 144, 216,..

NWW(48, 72)=144,

D(48)=1, 2, 3, 4, 6, 8, 12, 24, 48,

D(72)=1, 2, 3, 4, 6, 7, 9, 12, 18, 36, 72,

NWD(48, 72)=12,

d/

W(32)=32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896,..?

W(180)=180, 360, 540, 720, 900,..?

NWW(32, 180)=?

D(32)=1, 2, 4, 8, 16, 32,

D(180)=1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 20, 30, 35, 45, 60, 90, 180,

NWD(32, 180)=4,

 

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