GCD of 960, 204, 579, 591 Calculator

Given Input numbers are 960, 204, 579, 591

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (960, 204, 579, 591) = 3.

Given numbers are 960, 204, 579, 591

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 579 are 3 x 193

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 960, 204, 579, 591 is 3.

Given numbers are 960, 204, 579, 591

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

Apply this formula for all numbers.

Step1:

LCM(960, 204) = 16320

GCD(960, 204) = ( 960 x 204 ) / 16320

= 960 / 204

= 960

Step2:

LCM(12, 579) = 2316

GCD(12, 579) = ( 12 x 579 ) / 2316

= 12 / 579

= 12

Step3:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

So, Greatest Common Divisor of 960, 204, 579, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 190, 362, 743
• GCD of 624, 316, 393, 423
• GCD of 306, 960, 643, 858
• GCD of 497, 384, 289, 443
• GCD of 298, 633, 786, 142

Given numbers are 960, 204, 579, 591
The greatest common divisor of numbers 960, 204, 579, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 204, 579, 591 is 3.

1. What is the GCD of 960, 204, 579, 591?

GCD of given numbers 960, 204, 579, 591 is 3

2. How to calculate the greatest common divisor of 960, 204, 579, 591?

We can find the highest common divisor of 960, 204, 579, 591 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 960, 204, 579, 591 i.e 3.

3. How can I use the GCD of 960, 204, 579, 591Calculator?

Out the numbers 960, 204, 579, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.