GCD of 586, 397, 420 Calculator

Given Input numbers are 586, 397, 420

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 586, 397, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 397, 420 is 1.

Therefore, GCD of numbers 586, 397, 420 is 1

Given Input Data is 586, 397, 420

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 397 is 397

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(586, 397) = 232642

GCD(586, 397) = ( 586 x 397 ) / 232642

GCD(586, 397) = 232642 / 232642

GCD(586, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 586, 397, 420 is 1

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1. What is the GCD of 586, 397, 420?

GCD of 586, 397, 420 is 1

2. Where do I get the detailed procedure to find GCD of 586, 397, 420?

You can find a detailed procedure to find GCD of 586, 397, 420 on our page.

3. How to find GCD of 586, 397, 420 on a calculator?

You can find the GCD of 586, 397, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.