\( x \) is a number between 200 and 300. The highest common factor of \( x \) and 198 is 33 Find the smallest possible value of \( x \).

To find the smallest possible value of \( x \) between 200 and 300, which has a highest common factor (HCF) of 33 with 198, we need to find a number that is a multiple of 33 and also falls within the given range. First, let's find the multiples of 33 that are greater than 200: - 33 * 6 = 198 (which is not greater than 200) - 33 * 7 = 231 (which is greater than 200) Since 198 is not greater than 200, we can ignore it. The next multiple, 231, is the smallest number greater than 200 that is a multiple of 33. Therefore, the smallest possible value of \( x \) is 231.