GCD of 68, 362, 387, 589 Calculator

Given Input numbers are 68, 362, 387, 589

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 68, 362, 387, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 362, 387, 589 is 1.

Therefore, GCD of numbers 68, 362, 387, 589 is 1

Given Input Data is 68, 362, 387, 589

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 362 is 2 x 181

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 589 is 19 x 31

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(68, 362) = 12308

GCD(68, 362) = ( 68 x 362 ) / 12308

GCD(68, 362) = 24616 / 12308

GCD(68, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 68, 362, 387, 589 is 1

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1. What is the GCD of 68, 362, 387, 589?

GCD of 68, 362, 387, 589 is 1

2. Where do I get the detailed procedure to find GCD of 68, 362, 387, 589?

You can find a detailed procedure to find GCD of 68, 362, 387, 589 on our page.

3. How to find GCD of 68, 362, 387, 589 on a calculator?

You can find the GCD of 68, 362, 387, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.