Question

Exercitiul 7 va rog mult de tot! Cel mai mare divizor comun.

Answer 1

Răspuns:

Explicație pas cu pas:

a) 36 = 2^2*3^2

48 = 2^4*3

54 = 2*3^3

cmmdc = 2*3

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b) 30 = 2*3*5

45 = 3^2*5

75 = 3*5^2

cmmdc = 3*5 = 15

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c) 60 = 2^2*3*5

45 = 3^2*5

72 = 2^3*3^2

cmmdc = 3

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d) 54 = 2*3^3

72 = 2^3*3^2

90 = 2*3^2*5

cmmdc = 2*3^2 = 18

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e) 75 = 3*5^2

150 = 2*3*5^2

200 = 2^3*5^2

cmmdc = 5^2 = 25

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f) 72 = 2^3*3^2

108 = 2^2*3^3

144 = 2^4*3^2

cmmdc = 2^2*3^2 = 4*9 = 36

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g) 70 = 2*5*7

105 = 3*5*7

245 = 5*7^2

cmmdc = 5*7 = 35

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h) 80 = 2^4*5

200 = 2^3*5^2

360 = 2^3*3^2*5

cmmdc = 2^3*5 = 40