GCD of 563, 199, 560, 420 Calculator

Given Input numbers are 563, 199, 560, 420

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 563, 199, 560, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 199, 560, 420 is 1.

Therefore, GCD of numbers 563, 199, 560, 420 is 1

Given Input Data is 563, 199, 560, 420

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

Prime Factorization of 563 is 563

Prime Factorization of 199 is 199

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 199) = 112037

GCD(563, 199) = ( 563 x 199 ) / 112037

GCD(563, 199) = 112037 / 112037

GCD(563, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 563, 199, 560, 420 is 1

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1. What is the GCD of 563, 199, 560, 420?

GCD of 563, 199, 560, 420 is 1

2. Where do I get the detailed procedure to find GCD of 563, 199, 560, 420?

You can find a detailed procedure to find GCD of 563, 199, 560, 420 on our page.

3. How to find GCD of 563, 199, 560, 420 on a calculator?

You can find the GCD of 563, 199, 560, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.