GCD of 561, 214, 97, 443 Calculator

Given Input numbers are 561, 214, 97, 443

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 561, 214, 97, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 214, 97, 443 is 1.

Therefore, GCD of numbers 561, 214, 97, 443 is 1

Given Input Data is 561, 214, 97, 443

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 214 is 2 x 107

Prime Factorization of 97 is 97

Prime Factorization of 443 is 443

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, 214) = 120054

GCD(561, 214) = ( 561 x 214 ) / 120054

GCD(561, 214) = 120054 / 120054

GCD(561, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 561, 214, 97, 443 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 675, 83, 199
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• GCD of 573, 654, 34, 949

1. What is the GCD of 561, 214, 97, 443?

GCD of 561, 214, 97, 443 is 1

2. Where do I get the detailed procedure to find GCD of 561, 214, 97, 443?

You can find a detailed procedure to find GCD of 561, 214, 97, 443 on our page.

3. How to find GCD of 561, 214, 97, 443 on a calculator?

You can find the GCD of 561, 214, 97, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.