GCD of 905, 920, 531 Calculator

Given Input numbers are 905, 920, 531

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 905, 920, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 920, 531 is 1.

Therefore, GCD of numbers 905, 920, 531 is 1

Given Input Data is 905, 920, 531

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 531 is 3 x 3 x 59

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(905, 920) = 166520

GCD(905, 920) = ( 905 x 920 ) / 166520

GCD(905, 920) = 832600 / 166520

GCD(905, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 531

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

LCM(5, 531) = 2655

GCD(5, 531) = ( 5 x 531 ) / 2655

GCD(5, 531) = 2655 / 2655

GCD(5, 531) = 1

GCD of 905, 920, 531 is 1

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1. What is the GCD of 905, 920, 531?

GCD of 905, 920, 531 is 1

2. Where do I get the detailed procedure to find GCD of 905, 920, 531?

You can find a detailed procedure to find GCD of 905, 920, 531 on our page.

3. How to find GCD of 905, 920, 531 on a calculator?

You can find the GCD of 905, 920, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.