GCD of 524, 609, 56, 588 Calculator

Given Input numbers are 524, 609, 56, 588

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 524, 609, 56, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 609, 56, 588 is 1.

Therefore, GCD of numbers 524, 609, 56, 588 is 1

Given Input Data is 524, 609, 56, 588

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(524, 609) = 319116

GCD(524, 609) = ( 524 x 609 ) / 319116

GCD(524, 609) = 319116 / 319116

GCD(524, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 524, 609, 56, 588 is 1

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1. What is the GCD of 524, 609, 56, 588?

GCD of 524, 609, 56, 588 is 1

2. Where do I get the detailed procedure to find GCD of 524, 609, 56, 588?

You can find a detailed procedure to find GCD of 524, 609, 56, 588 on our page.

3. How to find GCD of 524, 609, 56, 588 on a calculator?

You can find the GCD of 524, 609, 56, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.