Question

Determinati c.m.m.d.c si c.m.m.m.c ai fiecarei perechi:
a).90 si 120;
b).135 si 90;
c).270 si 405;
d).420 si 490;
e).160 si 240;
f).135 si 225.

Answer 1

a)2 si 30
b)3
c)3
d)1
e)2
f)3
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Answer 2

a) 90=3²·2·5
   120=2³·3·5
c.m.m.m.c=3²·2³·5=360
c.m.m.d.c=3·2·5=30
b)135=3³·5
    90=3²·2·5
c.m.m.m.c=3³·5·2=270
c.m.m.d.c=3²·5=45
c)270=3²·5·2
   405=3³·3·5
c.m.m.m.c=3³·5=135
c.m.m.d.c=3·5=15
d)420=2²·5·3·7
   490=7²·2·5
c.m.m.m.c=2²·7²·5·3=2940
c.m.m.d.c=2·5·7=70
e) 160 = 2³·2²·5
     240=2³·2·3·5
c.m.m.m.c=2³·5·3=120
c.m.m.d.c=2·5=10
f)135=3³·5
   225=3²·5²
c.m.m.m.c=3³·5²=675
c.m.m.d.c=3²·5=45