Explanation
The largest number that divides 99, 132 and 165 without a remainder will be the HCF of numbers. Therefore,
Factors of 99 = 3×3×11
Factors of 132 = 2×2×3×11
Factors of 165 = 3×5×11
Therefore, HCF of 99, 132, 165 is 3×11 =33
Thus, the largest number that divides 99, 132 and 165 without a remainder is 33.