GCD of 231, 322, 728, 856 Calculator

Given Input numbers are 231, 322, 728, 856

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (231, 322, 728, 856) = 1.

Given numbers are 231, 322, 728, 856

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 322 are 2 x 7 x 23

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 856 are 2 x 2 x 2 x 107

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

Given numbers are 231, 322, 728, 856

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

Apply this formula for all numbers.

Step1:

LCM(231, 322) = 10626

GCD(231, 322) = ( 231 x 322 ) / 10626

= 231 / 322

= 231

Step2:

LCM(7, 728) = 728

GCD(7, 728) = ( 7 x 728 ) / 728

= 7 / 728

= 7

Step3:

LCM(7, 856) = 5992

GCD(7, 856) = ( 7 x 856 ) / 5992

= 7 / 856

= 7

So, Greatest Common Divisor of 231, 322, 728, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 205, 406, 582
• GCD of 239, 613, 693, 420
• GCD of 919, 346, 541, 438
• GCD of 679, 735, 853, 293
• GCD of 234, 431, 131, 553

Given numbers are 231, 322, 728, 856
The greatest common divisor of numbers 231, 322, 728, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 322, 728, 856 is 1.

1. What is the GCD of 231, 322, 728, 856?

GCD of given numbers 231, 322, 728, 856 is 1

2. How to calculate the greatest common divisor of 231, 322, 728, 856?

We can find the highest common divisor of 231, 322, 728, 856 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, 322, 728, 856 i.e 1.

3. How can I use the GCD of 231, 322, 728, 856Calculator?

Out the numbers 231, 322, 728, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.