Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
1,\\
a,\\
24 = {2^3}.3\\
36 = {2^2}{.3^2}\\
60 = {2^2}.3.5\\
\Rightarrow UCLN\left( {24;36;60} \right) = {2^2}.3 = 12\\
b,\\
150 = {2.3.5^2}\\
84 = {2^2}.3.7\\
\Rightarrow UCLN\left( {150;\,81} \right) = 2.3 = 6\\
c,\\
150 = {2.3.5^2}\\
84 = {2^2}.3.7\\
30 = 2.3.5\\
\Rightarrow UCLN\left( {150;84;30} \right) = 2.3 = 6\\
2,\\
a,\\
40 = {2^3}.5\\
24 = {2^3}.3\\
\Rightarrow UCLN\left( {40;24} \right) = {2^3} = 8\\
\Rightarrow UC\left( {40;24} \right) = \left\{ {1;2;4;8} \right\}\\
b,\\
80 = {2^4}.5\\
144 = {2^4}{.3^2}\\
\Rightarrow UCLN\left( {80;144} \right) = {2^4} = 16\\
\Rightarrow UC\left( {80;144} \right) = \left\{ {1;2;4;8;16} \right\}\\
c,\\
63 = {3^2}.7\\
2970 = {2.3^3}.5.11\\
\Rightarrow UCLN\left( {63;2970} \right) = {3^2} = 9\\
\Rightarrow UC\left( {63;2970} \right) = \left\{ {1;3;9} \right\}
\end{array}\)
