GCD of 583, 652, 106, 530 Calculator

Given Input numbers are 583, 652, 106, 530

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 530

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

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

Greatest Common Divisior

We found the divisors of 583, 652, 106, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 652, 106, 530 is 1.

Therefore, GCD of numbers 583, 652, 106, 530 is 1

Given Input Data is 583, 652, 106, 530

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 106 is 2 x 53

Prime Factorization of 530 is 2 x 5 x 53

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(583, 652) = 380116

GCD(583, 652) = ( 583 x 652 ) / 380116

GCD(583, 652) = 380116 / 380116

GCD(583, 652) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

GCD of 583, 652, 106, 530 is 1

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1. What is the GCD of 583, 652, 106, 530?

GCD of 583, 652, 106, 530 is 1

2. Where do I get the detailed procedure to find GCD of 583, 652, 106, 530?

You can find a detailed procedure to find GCD of 583, 652, 106, 530 on our page.

3. How to find GCD of 583, 652, 106, 530 on a calculator?

You can find the GCD of 583, 652, 106, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.