GCD of 831, 405, 872, 864 Calculator

Given Input numbers are 831, 405, 872, 864

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

Divisors of 831 :

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

1, 3, 277, 831

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (831, 405, 872, 864) = 1.

Given numbers are 831, 405, 872, 864

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 831, 405, 872, 864

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

Apply this formula for all numbers.

Step1:

LCM(831, 405) = 112185

GCD(831, 405) = ( 831 x 405 ) / 112185

= 831 / 405

= 831

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 831, 405, 872, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 314, 176, 153
• GCD of 525, 100, 541, 165
• GCD of 315, 136, 976, 348
• GCD of 281, 378, 490, 127
• GCD of 806, 639, 953, 314

Given numbers are 831, 405, 872, 864
The greatest common divisor of numbers 831, 405, 872, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 405, 872, 864 is 1.

1. What is the GCD of 831, 405, 872, 864?

GCD of given numbers 831, 405, 872, 864 is 1

2. How to calculate the greatest common divisor of 831, 405, 872, 864?

We can find the highest common divisor of 831, 405, 872, 864 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 831, 405, 872, 864 i.e 1.

3. How can I use the GCD of 831, 405, 872, 864Calculator?

Out the numbers 831, 405, 872, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.