GCD of 231, 828, 585, 854 Calculator

Given Input numbers are 231, 828, 585, 854

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (231, 828, 585, 854) = 1.

Given numbers are 231, 828, 585, 854

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 854 are 2 x 7 x 61

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

Given numbers are 231, 828, 585, 854

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

Apply this formula for all numbers.

Step1:

LCM(231, 828) = 63756

GCD(231, 828) = ( 231 x 828 ) / 63756

= 231 / 828

= 231

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

= 3 / 854

= 3

So, Greatest Common Divisor of 231, 828, 585, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 179, 801, 412
• GCD of 336, 621, 996, 372
• GCD of 258, 735, 238, 788
• GCD of 909, 893, 919, 905
• GCD of 948, 156, 385, 286

Given numbers are 231, 828, 585, 854
The greatest common divisor of numbers 231, 828, 585, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 828, 585, 854 is 1.

1. What is the GCD of 231, 828, 585, 854?

GCD of given numbers 231, 828, 585, 854 is 1

2. How to calculate the greatest common divisor of 231, 828, 585, 854?

We can find the highest common divisor of 231, 828, 585, 854 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 231, 828, 585, 854 i.e 1.

3. How can I use the GCD of 231, 828, 585, 854Calculator?

Out the numbers 231, 828, 585, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.