GCD of 586, 563, 552, 708 Calculator

Given Input numbers are 586, 563, 552, 708

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 586, 563, 552, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 563, 552, 708 is 1.

Therefore, GCD of numbers 586, 563, 552, 708 is 1

Given Input Data is 586, 563, 552, 708

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 563 is 563

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(586, 563) = 329918

GCD(586, 563) = ( 586 x 563 ) / 329918

GCD(586, 563) = 329918 / 329918

GCD(586, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 586, 563, 552, 708 is 1

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1. What is the GCD of 586, 563, 552, 708?

GCD of 586, 563, 552, 708 is 1

2. Where do I get the detailed procedure to find GCD of 586, 563, 552, 708?

You can find a detailed procedure to find GCD of 586, 563, 552, 708 on our page.

3. How to find GCD of 586, 563, 552, 708 on a calculator?

You can find the GCD of 586, 563, 552, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.