GCD of 321, 349, 229, 500 Calculator

Given Input numbers are 321, 349, 229, 500

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

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (321, 349, 229, 500) = 1.

Given numbers are 321, 349, 229, 500

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 349 are 349

Prime factors of 229 are 229

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Given numbers are 321, 349, 229, 500

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

Apply this formula for all numbers.

Step1:

LCM(321, 349) = 112029

GCD(321, 349) = ( 321 x 349 ) / 112029

= 321 / 349

= 321

Step2:

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

= 1 / 229

= 1

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 321, 349, 229, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 917, 181, 900
• GCD of 118, 507, 365, 858
• GCD of 854, 400, 106, 218
• GCD of 142, 133, 999, 557
• GCD of 933, 258, 796, 984

Given numbers are 321, 349, 229, 500
The greatest common divisor of numbers 321, 349, 229, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 349, 229, 500 is 1.

1. What is the GCD of 321, 349, 229, 500?

GCD of given numbers 321, 349, 229, 500 is 1

2. How to calculate the greatest common divisor of 321, 349, 229, 500?

We can find the highest common divisor of 321, 349, 229, 500 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 321, 349, 229, 500 i.e 1.

3. How can I use the GCD of 321, 349, 229, 500Calculator?

Out the numbers 321, 349, 229, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.