GCD of 420, 230, 285, 539 Calculator

Given Input numbers are 420, 230, 285, 539

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

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 420, 230, 285, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 230, 285, 539 is 1.

Therefore, GCD of numbers 420, 230, 285, 539 is 1

Given Input Data is 420, 230, 285, 539

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

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 539 is 7 x 7 x 11

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(420, 230) = 9660

GCD(420, 230) = ( 420 x 230 ) / 9660

GCD(420, 230) = 96600 / 9660

GCD(420, 230) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 285

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

LCM(10, 285) = 570

GCD(10, 285) = ( 10 x 285 ) / 570

GCD(10, 285) = 2850 / 570

GCD(10, 285) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 539

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

LCM(5, 539) = 2695

GCD(5, 539) = ( 5 x 539 ) / 2695

GCD(5, 539) = 2695 / 2695

GCD(5, 539) = 1

GCD of 420, 230, 285, 539 is 1

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• GCD of 594, 227, 426, 133
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1. What is the GCD of 420, 230, 285, 539?

GCD of 420, 230, 285, 539 is 1

2. Where do I get the detailed procedure to find GCD of 420, 230, 285, 539?

You can find a detailed procedure to find GCD of 420, 230, 285, 539 on our page.

3. How to find GCD of 420, 230, 285, 539 on a calculator?

You can find the GCD of 420, 230, 285, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.