GCD of 164, 730, 111, 891 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 164, 730, 111, 891 i.e. 1 largest integer that divides all the numbers equally.

GCD of 164, 730, 111, 891 is 1

GCD(164, 730, 111, 891) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 164, 730, 111, 891 is 1

GCD(164, 730, 111, 891) = 1

GCD of 164,730,111,891 Calculator

GCDof 164,730,111,891 is 1

Given Input numbers are 164, 730, 111, 891

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

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

Greatest Common Divisior

We found the divisors of 164, 730, 111, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 730, 111, 891 is 1.

Therefore, GCD of numbers 164, 730, 111, 891 is 1

Finding GCD of 164, 730, 111, 891 using Prime Factorization

Given Input Data is 164, 730, 111, 891

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 111 is 3 x 37

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 164, 730, 111, 891 using LCM Formula

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(164, 730) = 59860

GCD(164, 730) = ( 164 x 730 ) / 59860

GCD(164, 730) = 119720 / 59860

GCD(164, 730) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 164, 730, 111, 891 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 164, 730, 111, 891

1. What is the GCD of 164, 730, 111, 891?

GCD of 164, 730, 111, 891 is 1


2. Where do I get the detailed procedure to find GCD of 164, 730, 111, 891?

You can find a detailed procedure to find GCD of 164, 730, 111, 891 on our page.


3. How to find GCD of 164, 730, 111, 891 on a calculator?

You can find the GCD of 164, 730, 111, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.