GCD of 165, 201, 909, 561 Calculator

Given Input numbers are 165, 201, 909, 561

In the factoring method, we have to find the divisors of all numbers

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (165, 201, 909, 561) = 3.

Given numbers are 165, 201, 909, 561

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 201 are 3 x 67

Prime factors of 909 are 3 x 3 x 101

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 165, 201, 909, 561 is 3.

Given numbers are 165, 201, 909, 561

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(165, 201) = 11055

GCD(165, 201) = ( 165 x 201 ) / 11055

= 165 / 201

= 165

Step2:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 165, 201, 909, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 302, 570, 533
• GCD of 458, 574, 395, 406
• GCD of 344, 508, 170, 891
• GCD of 438, 770, 960, 166
• GCD of 877, 416, 499, 122

Given numbers are 165, 201, 909, 561
The greatest common divisor of numbers 165, 201, 909, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 201, 909, 561 is 3.

1. What is the GCD of 165, 201, 909, 561?

GCD of given numbers 165, 201, 909, 561 is 3

2. How to calculate the greatest common divisor of 165, 201, 909, 561?

We can find the highest common divisor of 165, 201, 909, 561 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 165, 201, 909, 561 i.e 3.

3. How can I use the GCD of 165, 201, 909, 561Calculator?

Out the numbers 165, 201, 909, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.