GCD of 563, 817, 198, 264 Calculator

Given Input numbers are 563, 817, 198, 264

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 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 563, 817, 198, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 817, 198, 264 is 1.

Therefore, GCD of numbers 563, 817, 198, 264 is 1

Given Input Data is 563, 817, 198, 264

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

Prime Factorization of 563 is 563

Prime Factorization of 817 is 19 x 43

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 817) = 459971

GCD(563, 817) = ( 563 x 817 ) / 459971

GCD(563, 817) = 459971 / 459971

GCD(563, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 563, 817, 198, 264 is 1

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• GCD of 617, 763, 622, 243
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1. What is the GCD of 563, 817, 198, 264?

GCD of 563, 817, 198, 264 is 1

2. Where do I get the detailed procedure to find GCD of 563, 817, 198, 264?

You can find a detailed procedure to find GCD of 563, 817, 198, 264 on our page.

3. How to find GCD of 563, 817, 198, 264 on a calculator?

You can find the GCD of 563, 817, 198, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.