GCD of 508, 530, 69, 584 Calculator

Given Input numbers are 508, 530, 69, 584

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 508, 530, 69, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 530, 69, 584 is 1.

Therefore, GCD of numbers 508, 530, 69, 584 is 1

Given Input Data is 508, 530, 69, 584

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 69 is 3 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(508, 530) = 134620

GCD(508, 530) = ( 508 x 530 ) / 134620

GCD(508, 530) = 269240 / 134620

GCD(508, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 508, 530, 69, 584 is 1

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1. What is the GCD of 508, 530, 69, 584?

GCD of 508, 530, 69, 584 is 1

2. Where do I get the detailed procedure to find GCD of 508, 530, 69, 584?

You can find a detailed procedure to find GCD of 508, 530, 69, 584 on our page.

3. How to find GCD of 508, 530, 69, 584 on a calculator?

You can find the GCD of 508, 530, 69, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.