Question

What is the greatest common divisor of $1665,4554,1683,$ and $4050$?

Answer 1

Finding the Greatest Common Divisor:

The Greatest Common Divisor is the largest number that is a divisor of all the given numbers.

Firstly, finding the factors of $1665,4554,1683,4050$:

Factors of $1665$ are $1,3,5,9,15,37,45,111,185,333,555,1665$.

Factors of $4554$ are $1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554$.

Factors of $1683$ are $1,3,9,11,17,33,51,99,153,187,561,1683$.

Factors of $4050$ are $1,2,3,5,6,9,10,15,8,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050$.

From the above factors, it can be observed that common factors are $1$ and $9$ and the greatest common factor is $9$.

Hence, the Greatest Common Divisor of $1665,4554,1683,4050$ is $9$.