GCD of 567, 214, 484, 321 Calculator

Given Input numbers are 567, 214, 484, 321

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (567, 214, 484, 321) = 1.

Given numbers are 567, 214, 484, 321

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 214 are 2 x 107

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 321 are 3 x 107

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

Given numbers are 567, 214, 484, 321

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

Apply this formula for all numbers.

Step1:

LCM(567, 214) = 121338

GCD(567, 214) = ( 567 x 214 ) / 121338

= 567 / 214

= 567

Step2:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 567, 214, 484, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 743, 770, 884
• GCD of 481, 283, 251, 976
• GCD of 637, 457, 469, 191
• GCD of 592, 169, 789, 640
• GCD of 913, 457, 406, 195

Given numbers are 567, 214, 484, 321
The greatest common divisor of numbers 567, 214, 484, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 214, 484, 321 is 1.

1. What is the GCD of 567, 214, 484, 321?

GCD of given numbers 567, 214, 484, 321 is 1

2. How to calculate the greatest common divisor of 567, 214, 484, 321?

We can find the highest common divisor of 567, 214, 484, 321 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 567, 214, 484, 321 i.e 1.

3. How can I use the GCD of 567, 214, 484, 321Calculator?

Out the numbers 567, 214, 484, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.