GCD of 168, 192, 972, 211 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 168, 192, 972, 211 i.e. 1 largest integer that divides all the numbers equally.

GCD of 168, 192, 972, 211 is 1

GCD(168, 192, 972, 211) = 1

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

GCD of

GCD of numbers 168, 192, 972, 211 is 1

GCD(168, 192, 972, 211) = 1

GCD of 168,192,972,211 Calculator

GCDof 168,192,972,211 is 1

Given Input numbers are 168, 192, 972, 211

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 168, 192, 972, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 192, 972, 211 is 1.

Therefore, GCD of numbers 168, 192, 972, 211 is 1

Finding GCD of 168, 192, 972, 211 using Prime Factorization

Given Input Data is 168, 192, 972, 211

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 211 is 211

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

Finding GCD of 168, 192, 972, 211 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(168, 192) = 1344

GCD(168, 192) = ( 168 x 192 ) / 1344

GCD(168, 192) = 32256 / 1344

GCD(168, 192) = 24


Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 972

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

LCM(24, 972) = 1944

GCD(24, 972) = ( 24 x 972 ) / 1944

GCD(24, 972) = 23328 / 1944

GCD(24, 972) = 12


Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 211

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

LCM(12, 211) = 2532

GCD(12, 211) = ( 12 x 211 ) / 2532

GCD(12, 211) = 2532 / 2532

GCD(12, 211) = 1

GCD of 168, 192, 972, 211 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 168, 192, 972, 211

1. What is the GCD of 168, 192, 972, 211?

GCD of 168, 192, 972, 211 is 1


2. Where do I get the detailed procedure to find GCD of 168, 192, 972, 211?

You can find a detailed procedure to find GCD of 168, 192, 972, 211 on our page.


3. How to find GCD of 168, 192, 972, 211 on a calculator?

You can find the GCD of 168, 192, 972, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.