GCD of 561, 627, 317, 220 Calculator

Given Input numbers are 561, 627, 317, 220

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 561, 627, 317, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 627, 317, 220 is 1.

Therefore, GCD of numbers 561, 627, 317, 220 is 1

Given Input Data is 561, 627, 317, 220

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 627 is 3 x 11 x 19

Prime Factorization of 317 is 317

Prime Factorization of 220 is 2 x 2 x 5 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(561, 627) = 10659

GCD(561, 627) = ( 561 x 627 ) / 10659

GCD(561, 627) = 351747 / 10659

GCD(561, 627) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 317

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

LCM(33, 317) = 10461

GCD(33, 317) = ( 33 x 317 ) / 10461

GCD(33, 317) = 10461 / 10461

GCD(33, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 561, 627, 317, 220 is 1

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1. What is the GCD of 561, 627, 317, 220?

GCD of 561, 627, 317, 220 is 1

2. Where do I get the detailed procedure to find GCD of 561, 627, 317, 220?

You can find a detailed procedure to find GCD of 561, 627, 317, 220 on our page.

3. How to find GCD of 561, 627, 317, 220 on a calculator?

You can find the GCD of 561, 627, 317, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.