GCD of 826, 512, 675, 864 Calculator

Given Input numbers are 826, 512, 675, 864

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

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

Greatest Common Divisior

We found the divisors of 826, 512, 675, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 512, 675, 864 is 1.

Therefore, GCD of numbers 826, 512, 675, 864 is 1

Given Input Data is 826, 512, 675, 864

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 864 is 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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(826, 512) = 211456

GCD(826, 512) = ( 826 x 512 ) / 211456

GCD(826, 512) = 422912 / 211456

GCD(826, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

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

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 826, 512, 675, 864 is 1

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1. What is the GCD of 826, 512, 675, 864?

GCD of 826, 512, 675, 864 is 1

2. Where do I get the detailed procedure to find GCD of 826, 512, 675, 864?

You can find a detailed procedure to find GCD of 826, 512, 675, 864 on our page.

3. How to find GCD of 826, 512, 675, 864 on a calculator?

You can find the GCD of 826, 512, 675, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.