GCD of 534, 864, 827, 406 Calculator

Given Input numbers are 534, 864, 827, 406

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 534, 864, 827, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 864, 827, 406 is 1.

Therefore, GCD of numbers 534, 864, 827, 406 is 1

Given Input Data is 534, 864, 827, 406

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 827 is 827

Prime Factorization of 406 is 2 x 7 x 29

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(534, 864) = 76896

GCD(534, 864) = ( 534 x 864 ) / 76896

GCD(534, 864) = 461376 / 76896

GCD(534, 864) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 827

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

LCM(6, 827) = 4962

GCD(6, 827) = ( 6 x 827 ) / 4962

GCD(6, 827) = 4962 / 4962

GCD(6, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 534, 864, 827, 406 is 1

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1. What is the GCD of 534, 864, 827, 406?

GCD of 534, 864, 827, 406 is 1

2. Where do I get the detailed procedure to find GCD of 534, 864, 827, 406?

You can find a detailed procedure to find GCD of 534, 864, 827, 406 on our page.

3. How to find GCD of 534, 864, 827, 406 on a calculator?

You can find the GCD of 534, 864, 827, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.