\[\boxed{\mathbf{138\ (138).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
Пояснение.
Решение.
\[1)\ 12 = 2^{2} \cdot 3;\ \ 18 = 2 \cdot 3^{2}\]
\[НОД(12;18) = 2 \cdot 3 = 6\]
\[2)\ 24 = 2^{3} \cdot 3;\ \ \ 30 = 2 \cdot 3 \cdot 5\]
\[НОД(24;30) = 2 \cdot 3 = 6\]
\[3)\ 6 = 2 \cdot 3;\ \ \ 36 = 2^{2} \cdot 3^{2}\]
\[НОД(6;36) = 2 \cdot 3 = 6\]
\[4)\ 48 = 2^{4} \cdot 3;\ \ \ 64 = 2^{6}\]
\[НОД(48;64) = 2^{4} = 16\]
\[5)\ 35 = 5 \cdot 7;\ \ \ 18 = 2 \cdot 3^{2}\]
\[НОД(35;18) = 1\]
\[6)\ 14 = 2 \cdot 7;\ \ 21 = 3 \cdot 7;\ \ 28 =\]
\[= 2^{2} \cdot 7\]
\[НОД(14;21;28) = 7\]