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Quiz su MCD e MCM

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Quiz su MCD e MCM

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Esercizio su MCD e MCM

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Samanta Salvi
Samanta Salvi
Italy

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Quiz su MCD e MCM
 

Quiz su MCD e MCMOnline version

Esercizio su MCD e MCM

by Samanta Salvi
1

Qual è il MCD di 18 e 24?

2

Qual è il MCM di 8 e 15?

3

Se a=14 e b=35, qual è il MCD(a,b)?

4

Se a=12 e b=18, qual è il MCM(a,b)?

5

Vero o falso: MCD(a,b)·MCM(a,b)=a·b per ogni due interi?

6

Qual è il MCD di 21 e 28?

7

Qual è il MCM di 21 e 28?

8

Due numeri primi, qual è il loro MCD?

9

Qual è il MCD di 48 e 180?

10

Qual è il MCM di 6, 8, 14?

Spiegazione

Il MCD è il massimo comun divisore: 18=2·3^2, 24=2^3·3; il massimo divisore è 2·3=6.

Il MCM è 8·15/MCD(8,15)=120; 8 e 15 non hanno fattori comuni oltre 1.

14=2·7, 35=5·7; condividono solo 7 come fattore comune.

MCM = a·b/MCD(a,b)=12·18/6=36.

Per due interi, MCD·MCM = a·b.

21=3·7, 28=4·7; comune è solo 7.

MCM è 21·28/MCD(21,28)=588/7=84.

Due numeri primi distinti hanno MCD=1.

Fattorizzando: 48=2^4·3, 180=2^2·3^2·5; MCD è 2^2·3=12.

Calcola step: MCM(6,8)=24; MCM(24,14)=168.

 
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