GCD of 819, 997, 373, 213 Calculator

Given Input numbers are 819, 997, 373, 213

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 819, 997, 373, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 997, 373, 213 is 1.

Therefore, GCD of numbers 819, 997, 373, 213 is 1

Given Input Data is 819, 997, 373, 213

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 997 is 997

Prime Factorization of 373 is 373

Prime Factorization of 213 is 3 x 71

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(819, 997) = 816543

GCD(819, 997) = ( 819 x 997 ) / 816543

GCD(819, 997) = 816543 / 816543

GCD(819, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 373

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

LCM(1, 373) = 373

GCD(1, 373) = ( 1 x 373 ) / 373

GCD(1, 373) = 373 / 373

GCD(1, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 819, 997, 373, 213 is 1

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1. What is the GCD of 819, 997, 373, 213?

GCD of 819, 997, 373, 213 is 1

2. Where do I get the detailed procedure to find GCD of 819, 997, 373, 213?

You can find a detailed procedure to find GCD of 819, 997, 373, 213 on our page.

3. How to find GCD of 819, 997, 373, 213 on a calculator?

You can find the GCD of 819, 997, 373, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.