GCD of 821, 205, 197, 899 Calculator

Given Input numbers are 821, 205, 197, 899

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 821, 205, 197, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 205, 197, 899 is 1.

Therefore, GCD of numbers 821, 205, 197, 899 is 1

Given Input Data is 821, 205, 197, 899

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

Prime Factorization of 821 is 821

Prime Factorization of 205 is 5 x 41

Prime Factorization of 197 is 197

Prime Factorization of 899 is 29 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(821, 205) = 168305

GCD(821, 205) = ( 821 x 205 ) / 168305

GCD(821, 205) = 168305 / 168305

GCD(821, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 821, 205, 197, 899 is 1

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1. What is the GCD of 821, 205, 197, 899?

GCD of 821, 205, 197, 899 is 1

2. Where do I get the detailed procedure to find GCD of 821, 205, 197, 899?

You can find a detailed procedure to find GCD of 821, 205, 197, 899 on our page.

3. How to find GCD of 821, 205, 197, 899 on a calculator?

You can find the GCD of 821, 205, 197, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.