GCD of 906, 238, 589, 602 Calculator

Given Input numbers are 906, 238, 589, 602

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 906, 238, 589, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 238, 589, 602 is 1.

Therefore, GCD of numbers 906, 238, 589, 602 is 1

Given Input Data is 906, 238, 589, 602

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 238 is 2 x 7 x 17

Prime Factorization of 589 is 19 x 31

Prime Factorization of 602 is 2 x 7 x 43

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, 238) = 107814

GCD(906, 238) = ( 906 x 238 ) / 107814

GCD(906, 238) = 215628 / 107814

GCD(906, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 906, 238, 589, 602 is 1

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1. What is the GCD of 906, 238, 589, 602?

GCD of 906, 238, 589, 602 is 1

2. Where do I get the detailed procedure to find GCD of 906, 238, 589, 602?

You can find a detailed procedure to find GCD of 906, 238, 589, 602 on our page.

3. How to find GCD of 906, 238, 589, 602 on a calculator?

You can find the GCD of 906, 238, 589, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.