GCD of 563, 436, 456, 249 Calculator

Given Input numbers are 563, 436, 456, 249

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 563, 436, 456, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 436, 456, 249 is 1.

Therefore, GCD of numbers 563, 436, 456, 249 is 1

Given Input Data is 563, 436, 456, 249

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

Prime Factorization of 563 is 563

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 249 is 3 x 83

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, 436) = 245468

GCD(563, 436) = ( 563 x 436 ) / 245468

GCD(563, 436) = 245468 / 245468

GCD(563, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 563, 436, 456, 249 is 1

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1. What is the GCD of 563, 436, 456, 249?

GCD of 563, 436, 456, 249 is 1

2. Where do I get the detailed procedure to find GCD of 563, 436, 456, 249?

You can find a detailed procedure to find GCD of 563, 436, 456, 249 on our page.

3. How to find GCD of 563, 436, 456, 249 on a calculator?

You can find the GCD of 563, 436, 456, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.