GCD of 213, 961, 21, 217 Calculator

Given Input numbers are 213, 961, 21, 217

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 213, 961, 21, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 961, 21, 217 is 1.

Therefore, GCD of numbers 213, 961, 21, 217 is 1

Given Input Data is 213, 961, 21, 217

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 961 is 31 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 217 is 7 x 31

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(213, 961) = 204693

GCD(213, 961) = ( 213 x 961 ) / 204693

GCD(213, 961) = 204693 / 204693

GCD(213, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 213, 961, 21, 217 is 1

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1. What is the GCD of 213, 961, 21, 217?

GCD of 213, 961, 21, 217 is 1

2. Where do I get the detailed procedure to find GCD of 213, 961, 21, 217?

You can find a detailed procedure to find GCD of 213, 961, 21, 217 on our page.

3. How to find GCD of 213, 961, 21, 217 on a calculator?

You can find the GCD of 213, 961, 21, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.