GCD of 855, 864, 768, 891 Calculator

Given Input numbers are 855, 864, 768, 891

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (855, 864, 768, 891) = 3.

Given numbers are 855, 864, 768, 891

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 855, 864, 768, 891 is 3.

Given numbers are 855, 864, 768, 891

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

Apply this formula for all numbers.

Step1:

LCM(855, 864) = 82080

GCD(855, 864) = ( 855 x 864 ) / 82080

= 855 / 864

= 855

Step2:

LCM(9, 768) = 2304

GCD(9, 768) = ( 9 x 768 ) / 2304

= 9 / 768

= 9

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 855, 864, 768, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 220, 922, 507
• GCD of 735, 409, 327, 757
• GCD of 330, 980, 530, 567
• GCD of 593, 582, 810, 886
• GCD of 881, 832, 908, 908

Given numbers are 855, 864, 768, 891
The greatest common divisor of numbers 855, 864, 768, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 864, 768, 891 is 3.

1. What is the GCD of 855, 864, 768, 891?

GCD of given numbers 855, 864, 768, 891 is 3

2. How to calculate the greatest common divisor of 855, 864, 768, 891?

We can find the highest common divisor of 855, 864, 768, 891 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 855, 864, 768, 891 i.e 3.

3. How can I use the GCD of 855, 864, 768, 891Calculator?

Out the numbers 855, 864, 768, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.