GCD of 821, 143, 198 Calculator

Given Input numbers are 821, 143, 198

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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

Greatest Common Divisior

We found the divisors of 821, 143, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 143, 198 is 1.

Therefore, GCD of numbers 821, 143, 198 is 1

Given Input Data is 821, 143, 198

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

Prime Factorization of 821 is 821

Prime Factorization of 143 is 11 x 13

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

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, 143) = 117403

GCD(821, 143) = ( 821 x 143 ) / 117403

GCD(821, 143) = 117403 / 117403

GCD(821, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 821, 143, 198 is 1

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1. What is the GCD of 821, 143, 198?

GCD of 821, 143, 198 is 1

2. Where do I get the detailed procedure to find GCD of 821, 143, 198?

You can find a detailed procedure to find GCD of 821, 143, 198 on our page.

3. How to find GCD of 821, 143, 198 on a calculator?

You can find the GCD of 821, 143, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.