GCD of 891, 992, 181, 222 Calculator

Given Input numbers are 891, 992, 181, 222

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 891, 992, 181, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 992, 181, 222 is 1.

Therefore, GCD of numbers 891, 992, 181, 222 is 1

Given Input Data is 891, 992, 181, 222

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 181 is 181

Prime Factorization of 222 is 2 x 3 x 37

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(891, 992) = 883872

GCD(891, 992) = ( 891 x 992 ) / 883872

GCD(891, 992) = 883872 / 883872

GCD(891, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 891, 992, 181, 222 is 1

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1. What is the GCD of 891, 992, 181, 222?

GCD of 891, 992, 181, 222 is 1

2. Where do I get the detailed procedure to find GCD of 891, 992, 181, 222?

You can find a detailed procedure to find GCD of 891, 992, 181, 222 on our page.

3. How to find GCD of 891, 992, 181, 222 on a calculator?

You can find the GCD of 891, 992, 181, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.