GCD of 512, 800, 838, 864 Calculator

Given Input numbers are 512, 800, 838, 864

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 (512, 800, 838, 864) = 2.

Given numbers are 512, 800, 838, 864

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 838 are 2 x 419

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

The highest common occurrence is 2¹

Therefore, GCD of 512, 800, 838, 864 is 2.

Given numbers are 512, 800, 838, 864

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

Apply this formula for all numbers.

Step1:

LCM(512, 800) = 12800

GCD(512, 800) = ( 512 x 800 ) / 12800

= 512 / 800

= 512

Step2:

LCM(32, 838) = 13408

GCD(32, 838) = ( 32 x 838 ) / 13408

= 32 / 838

= 32

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 512, 800, 838, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 145, 911, 981
• GCD of 438, 991, 220, 955
• GCD of 528, 434, 177, 192
• GCD of 723, 209, 938, 708
• GCD of 875, 401, 536, 309

Given numbers are 512, 800, 838, 864
The greatest common divisor of numbers 512, 800, 838, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 800, 838, 864 is 2.

1. What is the GCD of 512, 800, 838, 864?

GCD of given numbers 512, 800, 838, 864 is 2

2. How to calculate the greatest common divisor of 512, 800, 838, 864?

We can find the highest common divisor of 512, 800, 838, 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 512, 800, 838, 864 i.e 2.

3. How can I use the GCD of 512, 800, 838, 864Calculator?

Out the numbers 512, 800, 838, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.