GCD of 509, 539, 90, 684 Calculator

Given Input numbers are 509, 539, 90, 684

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

Divisors of 509

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

1, 509

Divisors of 539

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

1, 7, 11, 49, 77, 539

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 509, 539, 90, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 539, 90, 684 is 1.

Therefore, GCD of numbers 509, 539, 90, 684 is 1

Given Input Data is 509, 539, 90, 684

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

Prime Factorization of 509 is 509

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(509, 539) = 274351

GCD(509, 539) = ( 509 x 539 ) / 274351

GCD(509, 539) = 274351 / 274351

GCD(509, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 509, 539, 90, 684 is 1

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1. What is the GCD of 509, 539, 90, 684?

GCD of 509, 539, 90, 684 is 1

2. Where do I get the detailed procedure to find GCD of 509, 539, 90, 684?

You can find a detailed procedure to find GCD of 509, 539, 90, 684 on our page.

3. How to find GCD of 509, 539, 90, 684 on a calculator?

You can find the GCD of 509, 539, 90, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.