GCD of 507, 831, 906, 396 Calculator

Given Input numbers are 507, 831, 906, 396

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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

GCD of numbers is the greatest common divisor

So, the GCD (507, 831, 906, 396) = 3.

Given numbers are 507, 831, 906, 396

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 831 are 3 x 277

Prime factors of 906 are 2 x 3 x 151

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

The highest common occurrence is 3¹

Therefore, GCD of 507, 831, 906, 396 is 3.

Given numbers are 507, 831, 906, 396

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

Apply this formula for all numbers.

Step1:

LCM(507, 831) = 140439

GCD(507, 831) = ( 507 x 831 ) / 140439

= 507 / 831

= 507

Step2:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 507, 831, 906, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 530, 159, 943
• GCD of 180, 209, 200, 794
• GCD of 110, 767, 928, 722
• GCD of 696, 808, 663, 557
• GCD of 624, 217, 918, 223

Given numbers are 507, 831, 906, 396
The greatest common divisor of numbers 507, 831, 906, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 831, 906, 396 is 3.

1. What is the GCD of 507, 831, 906, 396?

GCD of given numbers 507, 831, 906, 396 is 3

2. How to calculate the greatest common divisor of 507, 831, 906, 396?

We can find the highest common divisor of 507, 831, 906, 396 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 507, 831, 906, 396 i.e 3.

3. How can I use the GCD of 507, 831, 906, 396Calculator?

Out the numbers 507, 831, 906, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.