Question

Нок и нод чисел 45,135. 34,170. 81,243. 75,45. 210,350

Answer 1

Наибольший общий делитель НОД (34; 170) = 34
Наименьшее общее кратное НОК (34; 170 ) = 170

Наибольший общий делитель НОД (45; 135) = 45
Наименьшее общее кратное НОК (45; 135 ) = 135

Наибольший общий делитель НОД (81; 243) = 81
Наименьшее общее кратное НОК (81; 243 ) = 243

Наибольший общий делитель НОД  (75 ; 45) = 15
Наименьшее общее кратное НОК  (75 ; 45 ) = 225

Наибольший общий делитель НОД  (210 ; 350) = 70
Наименьшее общее кратное НОК  (210 ; 350 ) = 1050

Answer 2

To find the greatest common divisor (GCD) and the least common multiple (LCM) of the given pairs of numbers, let's calculate them one by one:

Pair 1: 45, 135 To find the GCD, we can use the Euclidean algorithm: 135 = 3 * 45 + 0 Since the remainder is 0, the GCD of 45 and 135 is 45. To find the LCM, we can use the formula: LCM(a, b) = (a * b) / GCD(a, b) LCM(45, 135) = (45 * 135) / 45 = 135.

Pair 2: 34, 170 To find the GCD: 170 = 5 * 34 + 0 Again, the remainder is 0, so the GCD of 34 and 170 is 34. To find the LCM: LCM(34, 170) = (34 * 170) / 34 = 170.

Pair 3: 81, 243 To find the GCD: 243 = 3 * 81 + 0 The remainder is 0, so the GCD of 81 and 243 is 81. To find the LCM: LCM(81, 243) = (81 * 243) / 81 = 243.

Pair 4: 75, 45 To find the GCD: 75 = 1 * 45 + 30 45 = 1 * 30 + 15 30 = 2 * 15 + 0 The GCD of 75 and 45 is 15. To find the LCM: LCM(75, 45) = (75 * 45) / 15 = 225.

Pair 5: 210, 350 To find the GCD: 350 = 1 * 210 + 140 210 = 1 * 140 + 70 140 = 2 * 70 + 0 The GCD of 210 and 350 is 70. To find the LCM: LCM(210, 350) = (210 * 350) / 70 = 1050.

Therefore, the GCD and LCM of the given pairs of numbers are as follows:

1. Pair: 45, 135 GCD: 45 LCM: 135

2. Pair: 34, 170 GCD: 34 LCM: 170

3. Pair: 81, 243 GCD: 81 LCM: 243

4. Pair: 75, 45 GCD: 15 LCM: 225

5. Pair: 210, 350 GCD: 70 LCM: 1050