GCD of 576, 843, 165, 966 Calculator

Given Input numbers are 576, 843, 165, 966

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 165 :

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

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (576, 843, 165, 966) = 3.

Given numbers are 576, 843, 165, 966

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 843 are 3 x 281

Prime factors of 165 are 3 x 5 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 3¹

Therefore, GCD of 576, 843, 165, 966 is 3.

Given numbers are 576, 843, 165, 966

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

Apply this formula for all numbers.

Step1:

LCM(576, 843) = 161856

GCD(576, 843) = ( 576 x 843 ) / 161856

= 576 / 843

= 576

Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

Step3:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

So, Greatest Common Divisor of 576, 843, 165, 966 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 943, 683, 194
• GCD of 802, 122, 422, 494
• GCD of 797, 967, 161, 761
• GCD of 928, 145, 165, 460
• GCD of 670, 932, 816, 410

Given numbers are 576, 843, 165, 966
The greatest common divisor of numbers 576, 843, 165, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 843, 165, 966 is 3.

1. What is the GCD of 576, 843, 165, 966?

GCD of given numbers 576, 843, 165, 966 is 3

2. How to calculate the greatest common divisor of 576, 843, 165, 966?

We can find the highest common divisor of 576, 843, 165, 966 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 576, 843, 165, 966 i.e 3.

3. How can I use the GCD of 576, 843, 165, 966Calculator?

Out the numbers 576, 843, 165, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.