GCD of 710, 258, 563, 585 Calculator

Given Input numbers are 710, 258, 563, 585

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 563

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

1, 563

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 710, 258, 563, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 258, 563, 585 is 1.

Therefore, GCD of numbers 710, 258, 563, 585 is 1

Given Input Data is 710, 258, 563, 585

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 563 is 563

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(710, 258) = 91590

GCD(710, 258) = ( 710 x 258 ) / 91590

GCD(710, 258) = 183180 / 91590

GCD(710, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 710, 258, 563, 585 is 1

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1. What is the GCD of 710, 258, 563, 585?

GCD of 710, 258, 563, 585 is 1

2. Where do I get the detailed procedure to find GCD of 710, 258, 563, 585?

You can find a detailed procedure to find GCD of 710, 258, 563, 585 on our page.

3. How to find GCD of 710, 258, 563, 585 on a calculator?

You can find the GCD of 710, 258, 563, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.