GCD of 205, 164, 364, 589 Calculator

Given Input numbers are 205, 164, 364, 589

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

GCD of numbers is the greatest common divisor

So, the GCD (205, 164, 364, 589) = 1.

Given numbers are 205, 164, 364, 589

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 164 are 2 x 2 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 589 are 19 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 205, 164, 364, 589

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

Apply this formula for all numbers.

Step1:

LCM(205, 164) = 820

GCD(205, 164) = ( 205 x 164 ) / 820

= 205 / 164

= 205

Step2:

LCM(41, 364) = 14924

GCD(41, 364) = ( 41 x 364 ) / 14924

= 41 / 364

= 41

Step3:

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

= 1 / 589

= 1

So, Greatest Common Divisor of 205, 164, 364, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 173, 561, 745
• GCD of 666, 385, 293, 337
• GCD of 425, 391, 803, 430
• GCD of 662, 454, 654, 665
• GCD of 627, 149, 298, 396

Given numbers are 205, 164, 364, 589
The greatest common divisor of numbers 205, 164, 364, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 164, 364, 589 is 1.

1. What is the GCD of 205, 164, 364, 589?

GCD of given numbers 205, 164, 364, 589 is 1

2. How to calculate the greatest common divisor of 205, 164, 364, 589?

We can find the highest common divisor of 205, 164, 364, 589 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 205, 164, 364, 589 i.e 1.

3. How can I use the GCD of 205, 164, 364, 589Calculator?

Out the numbers 205, 164, 364, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.