GCD of 906, 531, 800, 597 Calculator

Given Input numbers are 906, 531, 800, 597

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

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 531

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

1, 3, 9, 59, 177, 531

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 906, 531, 800, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 531, 800, 597 is 1.

Therefore, GCD of numbers 906, 531, 800, 597 is 1

Given Input Data is 906, 531, 800, 597

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 597 is 3 x 199

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(906, 531) = 160362

GCD(906, 531) = ( 906 x 531 ) / 160362

GCD(906, 531) = 481086 / 160362

GCD(906, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 800

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

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

GCD(3, 800) = 2400 / 2400

GCD(3, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 906, 531, 800, 597 is 1

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1. What is the GCD of 906, 531, 800, 597?

GCD of 906, 531, 800, 597 is 1

2. Where do I get the detailed procedure to find GCD of 906, 531, 800, 597?

You can find a detailed procedure to find GCD of 906, 531, 800, 597 on our page.

3. How to find GCD of 906, 531, 800, 597 on a calculator?

You can find the GCD of 906, 531, 800, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.