GCD of 563, 872, 295, 689 Calculator

Given Input numbers are 563, 872, 295, 689

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

Divisors of 563

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

1, 563

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 563, 872, 295, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 872, 295, 689 is 1.

Therefore, GCD of numbers 563, 872, 295, 689 is 1

Given Input Data is 563, 872, 295, 689

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

Prime Factorization of 563 is 563

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 295 is 5 x 59

Prime Factorization of 689 is 13 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(563, 872) = 490936

GCD(563, 872) = ( 563 x 872 ) / 490936

GCD(563, 872) = 490936 / 490936

GCD(563, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 563, 872, 295, 689 is 1

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1. What is the GCD of 563, 872, 295, 689?

GCD of 563, 872, 295, 689 is 1

2. Where do I get the detailed procedure to find GCD of 563, 872, 295, 689?

You can find a detailed procedure to find GCD of 563, 872, 295, 689 on our page.

3. How to find GCD of 563, 872, 295, 689 on a calculator?

You can find the GCD of 563, 872, 295, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.