GCD of 458, 591, 420, 509 Calculator

Given Input numbers are 458, 591, 420, 509

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 458, 591, 420, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 591, 420, 509 is 1.

Therefore, GCD of numbers 458, 591, 420, 509 is 1

Given Input Data is 458, 591, 420, 509

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 591 is 3 x 197

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

Prime Factorization of 509 is 509

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(458, 591) = 270678

GCD(458, 591) = ( 458 x 591 ) / 270678

GCD(458, 591) = 270678 / 270678

GCD(458, 591) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 458, 591, 420, 509 is 1

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• GCD of 215, 961, 972, 710
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• GCD of 265, 595, 979, 301

1. What is the GCD of 458, 591, 420, 509?

GCD of 458, 591, 420, 509 is 1

2. Where do I get the detailed procedure to find GCD of 458, 591, 420, 509?

You can find a detailed procedure to find GCD of 458, 591, 420, 509 on our page.

3. How to find GCD of 458, 591, 420, 509 on a calculator?

You can find the GCD of 458, 591, 420, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.