a) 127:n=,r
7
53:n=,r 5
76:n=,r4
n=(127-7):c n=120:c
n=(53-5):c n=48:c
n=(76-4):c n=72:c
n=c.m.m.d.c(120,48,72)=2³·3=8·3=24
120=2³·3·5
48=[tex] 2^{4} [/tex]·3
72=2³·3²
In concluzie n=24
b) 47:n=,r 2
53:n=,r 3
64:n=,r 4
n=(47-2):⇒ n=45:
n=(53-3): ⇒ n=50:
n=(64-4): ⇒ n=60:
n=c.m.m.d.c(47,50,60)=5
45=3²·5
50=2·5²
60=2²·3·5
In concluzie n=5
c) 66:n=,r6
142:n=,r7
113:n=,r8
n=(66-6):⇒ n=60:
n=(142-7):⇒n=135:
n=(113-8):⇒n=105:
n=c.m.m.d.c(60,135,105)=5·3=15
60=2²·3·5
135=5·3³
105=5·3·7
In concluzie n=15
