GCD of 506, 106, 321, 329 Calculator

Given Input numbers are 506, 106, 321, 329

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 321 :

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

1, 3, 107, 321

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 (506, 106, 321, 329) = 1.

Given numbers are 506, 106, 321, 329

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 106 are 2 x 53

Prime factors of 321 are 3 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 506, 106, 321, 329

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

Apply this formula for all numbers.

Step1:

LCM(506, 106) = 26818

GCD(506, 106) = ( 506 x 106 ) / 26818

= 506 / 106

= 506

Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2

Step3:

LCM(1, 329) = 329

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

= 1 / 329

= 1

So, Greatest Common Divisor of 506, 106, 321, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 960, 914, 248
• GCD of 267, 893, 961, 785
• GCD of 140, 411, 709, 715
• GCD of 994, 531, 749, 771
• GCD of 225, 141, 996, 892

Given numbers are 506, 106, 321, 329
The greatest common divisor of numbers 506, 106, 321, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 106, 321, 329 is 1.

1. What is the GCD of 506, 106, 321, 329?

GCD of given numbers 506, 106, 321, 329 is 1

2. How to calculate the greatest common divisor of 506, 106, 321, 329?

We can find the highest common divisor of 506, 106, 321, 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 506, 106, 321, 329 i.e 1.

3. How can I use the GCD of 506, 106, 321, 329Calculator?

Out the numbers 506, 106, 321, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.