GCD of 561, 487, 208, 420 Calculator

Given Input numbers are 561, 487, 208, 420

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 561, 487, 208, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 487, 208, 420 is 1.

Therefore, GCD of numbers 561, 487, 208, 420 is 1

Given Input Data is 561, 487, 208, 420

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 487 is 487

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(561, 487) = 273207

GCD(561, 487) = ( 561 x 487 ) / 273207

GCD(561, 487) = 273207 / 273207

GCD(561, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 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 561, 487, 208, 420 is 1

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1. What is the GCD of 561, 487, 208, 420?

GCD of 561, 487, 208, 420 is 1

2. Where do I get the detailed procedure to find GCD of 561, 487, 208, 420?

You can find a detailed procedure to find GCD of 561, 487, 208, 420 on our page.

3. How to find GCD of 561, 487, 208, 420 on a calculator?

You can find the GCD of 561, 487, 208, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.