GCD of 214, 709, 589, 364 Calculator

Given Input numbers are 214, 709, 589, 364

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 589

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

1, 19, 31, 589

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 214, 709, 589, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 709, 589, 364 is 1.

Therefore, GCD of numbers 214, 709, 589, 364 is 1

Given Input Data is 214, 709, 589, 364

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 709 is 709

Prime Factorization of 589 is 19 x 31

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(214, 709) = 151726

GCD(214, 709) = ( 214 x 709 ) / 151726

GCD(214, 709) = 151726 / 151726

GCD(214, 709) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 214, 709, 589, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 792, 446, 394
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• GCD of 365, 968, 826, 597

1. What is the GCD of 214, 709, 589, 364?

GCD of 214, 709, 589, 364 is 1

2. Where do I get the detailed procedure to find GCD of 214, 709, 589, 364?

You can find a detailed procedure to find GCD of 214, 709, 589, 364 on our page.

3. How to find GCD of 214, 709, 589, 364 on a calculator?

You can find the GCD of 214, 709, 589, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.