GCD of 990, 198, 91, 821 Calculator

Given Input numbers are 990, 198, 91, 821

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 990, 198, 91, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 198, 91, 821 is 1.

Therefore, GCD of numbers 990, 198, 91, 821 is 1

Given Input Data is 990, 198, 91, 821

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 821 is 821

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(990, 198) = 990

GCD(990, 198) = ( 990 x 198 ) / 990

GCD(990, 198) = 196020 / 990

GCD(990, 198) = 198

Step2:

Here we consider the GCD from the above i.e. 198 as first number and the next as 91

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

LCM(198, 91) = 18018

GCD(198, 91) = ( 198 x 91 ) / 18018

GCD(198, 91) = 18018 / 18018

GCD(198, 91) = 1

Step3:

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

GCD of 990, 198, 91, 821 is 1

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• GCD of 588, 297, 19, 462
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1. What is the GCD of 990, 198, 91, 821?

GCD of 990, 198, 91, 821 is 1

2. Where do I get the detailed procedure to find GCD of 990, 198, 91, 821?

You can find a detailed procedure to find GCD of 990, 198, 91, 821 on our page.

3. How to find GCD of 990, 198, 91, 821 on a calculator?

You can find the GCD of 990, 198, 91, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.