Pentru a afla c.m.m.d.c se scrie numarul in produs de factori primi iar apoi se iau factorii comuni cu cel mai mic exponent
a) 50;75
50 = 2 * [tex]5^{2}[/tex]
75 = 3 * [tex]5^{2}[/tex]
=> c.m.m.d.c = [tex]5^{2}[/tex] = 25
b) 32;48
32 = [tex]2^{5}[/tex]
48 = [tex]2^{4}[/tex] * 3
=> cmmdc = [tex]2^{4}[/tex] = 16
c) 72;108
72 = [tex]2^{3}[/tex] * [tex]3^{2}[/tex]
108 = [tex]2^{2}[/tex] * [tex]3^{2}[/tex]
d) 66;242
66 = 2*3*11
242 = [tex]11^{2}[/tex] * 2
cmmdc = 11 * 2 = 22
e) 112; 126
112 = [tex]2^{4}[/tex] * 7
126 = 2 * [tex]3^{2}[/tex] * 7
cmmdc = 7 * 2 = 14
f) 50;42;36
50 = [tex]5^{2}[/tex] * 2
42 = 2 * 7 * 3
36 = [tex]2^{2}[/tex] * [tex]3^{2}[/tex]
cmmdc = 2
g) 150; 75;225
150 = 2*[tex]5^{2}[/tex] * 3
75 = 3* [tex]5^{2}[/tex]
225 = [tex]5^{2}[/tex] * [tex]3^{2}[/tex]
cmmdc = 75
h) 98; 42; 105
98 = [tex]7^{2}[/tex] * 2
42 = 2 * 7 * 3
105 = 5 * 7 * 3
cmmdc = 7
