Solving for a - советы от нейросети

НОД чисел 133 и а равен 19, а их НОК равен 665. Используя свойства НОК и НОД, найдите число а.

Since the GCD (Greatest Common Divisor) of 133 and a is 19, we can say that 133 is a multiple of 19, and thus, 19 is a common factor of both numbers. And the LCM (Least Common Multiple) of 133 and a is 665, which means that both numbers must be divisible by 665. Combining these two facts, we can write an equation: 133 = 19 * x and 665 = 665 * y, where x and y are integers. Solving for x, we get x = 133/19, which is approximately 7. And solving for y, we get y = 665/19, which is approximately 35. Therefore, the value of a is 133/7, which is equal to 19.