GCD of 506, 117, 396, 363 Calculator

Given Input numbers are 506, 117, 396, 363

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (506, 117, 396, 363) = 1.

Given numbers are 506, 117, 396, 363

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 117 are 3 x 3 x 13

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 506, 117, 396, 363

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

Apply this formula for all numbers.

Step1:

LCM(506, 117) = 59202

GCD(506, 117) = ( 506 x 117 ) / 59202

= 506 / 117

= 506

Step2:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

Step3:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

So, Greatest Common Divisor of 506, 117, 396, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 228, 335, 768
• GCD of 245, 671, 973, 748
• GCD of 603, 514, 110, 602
• GCD of 869, 678, 235, 290
• GCD of 909, 825, 806, 637

Given numbers are 506, 117, 396, 363
The greatest common divisor of numbers 506, 117, 396, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 117, 396, 363 is 1.

1. What is the GCD of 506, 117, 396, 363?

GCD of given numbers 506, 117, 396, 363 is 1

2. How to calculate the greatest common divisor of 506, 117, 396, 363?

We can find the highest common divisor of 506, 117, 396, 363 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, 117, 396, 363 i.e 1.

3. How can I use the GCD of 506, 117, 396, 363Calculator?

Out the numbers 506, 117, 396, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.