GCD of 585, 214, 329 Calculator

Given Input numbers are 585, 214, 329

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

GCD of numbers is the greatest common divisor

So, the GCD (585, 214, 329) = 1.

Given numbers are 585, 214, 329

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 214 are 2 x 107

Prime factors of 329 are 7 x 47

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

Given numbers are 585, 214, 329

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

Apply this formula for all numbers.

Step1:

LCM(585, 214) = 125190

GCD(585, 214) = ( 585 x 214 ) / 125190

= 585 / 214

= 585

Step2:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

So, Greatest Common Divisor of 585, 214, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 380, 869
• GCD of 625, 532, 289
• GCD of 986, 164, 814
• GCD of 907, 787, 520
• GCD of 295, 474, 389

Given numbers are 585, 214, 329
The greatest common divisor of numbers 585, 214, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 214, 329 is 1.

1. What is the GCD of 585, 214, 329?

GCD of given numbers 585, 214, 329 is 1

2. How to calculate the greatest common divisor of 585, 214, 329?

We can find the highest common divisor of 585, 214, 329 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 585, 214, 329 i.e 1.

3. How can I use the GCD of 585, 214, 329Calculator?

Out the numbers 585, 214, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.