GCD of 821, 212, 99, 188 Calculator

Given Input numbers are 821, 212, 99, 188

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 821, 212, 99, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 212, 99, 188 is 1.

Therefore, GCD of numbers 821, 212, 99, 188 is 1

Given Input Data is 821, 212, 99, 188

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

Prime Factorization of 821 is 821

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 188 is 2 x 2 x 47

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, 212) = 174052

GCD(821, 212) = ( 821 x 212 ) / 174052

GCD(821, 212) = 174052 / 174052

GCD(821, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 821, 212, 99, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 981, 63, 582
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• GCD of 669, 389, 12, 934

1. What is the GCD of 821, 212, 99, 188?

GCD of 821, 212, 99, 188 is 1

2. Where do I get the detailed procedure to find GCD of 821, 212, 99, 188?

You can find a detailed procedure to find GCD of 821, 212, 99, 188 on our page.

3. How to find GCD of 821, 212, 99, 188 on a calculator?

You can find the GCD of 821, 212, 99, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.