GCD of 198, 821, 821, 981 Calculator

Given Input numbers are 198, 821, 821, 981

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 821

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

1, 821

Divisors of 821

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

1, 821

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 198, 821, 821, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 821, 821, 981 is 1.

Therefore, GCD of numbers 198, 821, 821, 981 is 1

Given Input Data is 198, 821, 821, 981

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 821 is 821

Prime Factorization of 821 is 821

Prime Factorization of 981 is 3 x 3 x 109

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(198, 821) = 162558

GCD(198, 821) = ( 198 x 821 ) / 162558

GCD(198, 821) = 162558 / 162558

GCD(198, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 198, 821, 821, 981 is 1

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1. What is the GCD of 198, 821, 821, 981?

GCD of 198, 821, 821, 981 is 1

2. Where do I get the detailed procedure to find GCD of 198, 821, 821, 981?

You can find a detailed procedure to find GCD of 198, 821, 821, 981 on our page.

3. How to find GCD of 198, 821, 821, 981 on a calculator?

You can find the GCD of 198, 821, 821, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.