GCD of 322, 892, 20, 191 Calculator

Given Input numbers are 322, 892, 20, 191

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 322, 892, 20, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 892, 20, 191 is 1.

Therefore, GCD of numbers 322, 892, 20, 191 is 1

Given Input Data is 322, 892, 20, 191

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 191 is 191

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(322, 892) = 143612

GCD(322, 892) = ( 322 x 892 ) / 143612

GCD(322, 892) = 287224 / 143612

GCD(322, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 191

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

LCM(2, 191) = 382

GCD(2, 191) = ( 2 x 191 ) / 382

GCD(2, 191) = 382 / 382

GCD(2, 191) = 1

GCD of 322, 892, 20, 191 is 1

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• GCD of 101, 389, 98, 423
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• GCD of 507, 719, 57, 664

1. What is the GCD of 322, 892, 20, 191?

GCD of 322, 892, 20, 191 is 1

2. Where do I get the detailed procedure to find GCD of 322, 892, 20, 191?

You can find a detailed procedure to find GCD of 322, 892, 20, 191 on our page.

3. How to find GCD of 322, 892, 20, 191 on a calculator?

You can find the GCD of 322, 892, 20, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.