Question

НОД(5082,165)=_ _ _ _ = 33 НОК(5082,165)= _ _ _ _ = 25410НОД (374, 55440)= _ _ _ _ = 22НОК (374, 55440)= _ _ _ _ = 942480Разложите на простые множители числа и какие надо числа сложить , что бы получились 22 , 25410 , 22 , 942480 . Пожалуйста СРОЧНО!!!

Answer 1

5082=2*2541=2*33*77=2*3*11*7*11
165=5*33=5*3*11
НОД (5082,165)=3*11=33
374=2*187=2*11*17
55440=2*27720=2*2*5*2772=2*2*5*3*3*308=2*2*5*3*3*2*154=2*2*5*3*3*2*2*7*11
НОД(374,55440)=2*11=22

Answer 2

GCD (5082, 165) = 33

To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The GCD of 5082 and 165 is 33 [[1]].

LCM (5082, 165) = 25410

To find the least common multiple (LCM) of two numbers, we can use the formula: LCM(a, b) = (a * b) / GCD(a, b). In this case, the LCM of 5082 and 165 is 25410 [[1]].

GCD (374, 55440) = 22

The GCD of 374 and 55440 is 22 [[1]].

LCM (374, 55440) = 942480

The LCM of 374 and 55440 is 942480 [[1]].

Prime Factorization

To factorize a number into its prime factors, we can repeatedly divide the number by prime numbers until we can no longer divide evenly. Here are the prime factorizations of the given numbers:

- 22 = 2 * 11 - 25410 = 2 * 3 * 5 * 13 * 17 - 942480 = 2 * 2 * 2 * 2 * 3 * 5 * 7 * 13 * 17

To obtain the numbers 22, 25410, 22, and 942480 by adding other numbers, we need to find combinations of the prime factors that add up to these numbers. Here are some possible combinations:

- 22 = 11 + 11 - 25410 = 2 + 3 + 5 + 13 + 17 + 25410 - 22 = 11 + 11 - 942480 = 2 + 2 + 2 + 2 + 3 + 5 + 7 + 13 + 17 + 942480

Please note that the combinations provided above are just examples, and there may be other valid combinations as well.