GCD of 130, 730, 539, 462 Calculator

Given Input numbers are 130, 730, 539, 462

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 539

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

1, 7, 11, 49, 77, 539

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 130, 730, 539, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 730, 539, 462 is 1.

Therefore, GCD of numbers 130, 730, 539, 462 is 1

Given Input Data is 130, 730, 539, 462

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 462 is 2 x 3 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(130, 730) = 9490

GCD(130, 730) = ( 130 x 730 ) / 9490

GCD(130, 730) = 94900 / 9490

GCD(130, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 539

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

LCM(10, 539) = 5390

GCD(10, 539) = ( 10 x 539 ) / 5390

GCD(10, 539) = 5390 / 5390

GCD(10, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 130, 730, 539, 462 is 1

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• GCD of 996, 840, 767, 421
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1. What is the GCD of 130, 730, 539, 462?

GCD of 130, 730, 539, 462 is 1

2. Where do I get the detailed procedure to find GCD of 130, 730, 539, 462?

You can find a detailed procedure to find GCD of 130, 730, 539, 462 on our page.

3. How to find GCD of 130, 730, 539, 462 on a calculator?

You can find the GCD of 130, 730, 539, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.