GCD of 538, 325, 906, 864 Calculator

Given Input numbers are 538, 325, 906, 864

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 538, 325, 906, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 325, 906, 864 is 1.

Therefore, GCD of numbers 538, 325, 906, 864 is 1

Given Input Data is 538, 325, 906, 864

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 906 is 2 x 3 x 151

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(538, 325) = 174850

GCD(538, 325) = ( 538 x 325 ) / 174850

GCD(538, 325) = 174850 / 174850

GCD(538, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 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 538, 325, 906, 864 is 1

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1. What is the GCD of 538, 325, 906, 864?

GCD of 538, 325, 906, 864 is 1

2. Where do I get the detailed procedure to find GCD of 538, 325, 906, 864?

You can find a detailed procedure to find GCD of 538, 325, 906, 864 on our page.

3. How to find GCD of 538, 325, 906, 864 on a calculator?

You can find the GCD of 538, 325, 906, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.