Реши

1.26.
а) НОД \(=14\), НОК \(=2310\);
б) НОД \(=24\), НОК \(=720\);
в) НОД \(=255\), НОК \(=510\);
г) НОД \(=15\), НОК \(=1155\).

1.27.
а) НОД \(=2^{22}\cdot3^4\cdot11^{14}\),
НОК \(=2^{23}\cdot3^7\cdot11^{31}\).

б) \(4^{24}\cdot6^{14}\cdot9^8=2^{62}\cdot3^{30}\),
\(8^{18}\cdot10^{17}\cdot12^{16}=2^{103}\cdot3^{16}\cdot5^{17}\).

НОД \(=2^{62}\cdot3^{16}\),
НОК \(=2^{103}\cdot3^{30}\cdot5^{17}\).

1.29.
а) \(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47\).
б) \(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97\).

1.30.
а) \(4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49\).
б) \(4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72,74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99\).

1.43. При \(k=0,1,2,\ldots\):
а) \(5k+4\); б) \(11k+7\); в) \(7k+2\); г) \(100k+15\).