\[\boxed{\mathbf{139\ (139).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
Пояснение.
Решение.
\[1)\ 16 = 2^{4};\ \ \ 24 = 2^{3} \cdot 3\]
\[НОД\ (16;24) = 2^{3} = 8\]
\[2)\ 15 = 3 \cdot 5;\ \ 60 = 2^{2} \cdot 3 \cdot 5\]
\[НОД\ (15;60) = 3 \cdot 5 = 15\]
\[3)\ 10 = 2 \cdot 5;\ \ \ 15 = 3 \cdot 5\]
\[НОД(10;15) = 5\]
\[4)\ 45 = 3^{2} \cdot 5;\ \ \ 56 = 2^{3} \cdot 7\]
\[НОД\ (45;56) = 1\]
\[5)\ 21 = 3 \cdot 7;\ \ \ 49 = 7 \cdot 7\]
\[НОД\ (21;49) = 7\]
\[6)\ 12 = 2^{2} \cdot 3;\ \ 18 = 2 \cdot 3^{2};\ \ \]
\[24 = 2^{3} \cdot 3\]
\[НОД\ (12;18;24) = 2 \cdot 3 = 6\ \]