GCD of 365, 908, 214, 321 Calculator

Given Input numbers are 365, 908, 214, 321

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 214 :

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

1, 2, 107, 214

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 (365, 908, 214, 321) = 1.

Given numbers are 365, 908, 214, 321

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 908 are 2 x 2 x 227

Prime factors of 214 are 2 x 107

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 365, 908, 214, 321

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

Apply this formula for all numbers.

Step1:

LCM(365, 908) = 331420

GCD(365, 908) = ( 365 x 908 ) / 331420

= 365 / 908

= 365

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 321) = 321

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

= 1 / 321

= 1

So, Greatest Common Divisor of 365, 908, 214, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 756, 221, 112
• GCD of 552, 821, 315, 367
• GCD of 731, 244, 544, 477
• GCD of 629, 284, 849, 504
• GCD of 234, 697, 143, 751

Given numbers are 365, 908, 214, 321
The greatest common divisor of numbers 365, 908, 214, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 908, 214, 321 is 1.

1. What is the GCD of 365, 908, 214, 321?

GCD of given numbers 365, 908, 214, 321 is 1

2. How to calculate the greatest common divisor of 365, 908, 214, 321?

We can find the highest common divisor of 365, 908, 214, 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 365, 908, 214, 321 i.e 1.

3. How can I use the GCD of 365, 908, 214, 321Calculator?

Out the numbers 365, 908, 214, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.