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 numbers 168, 192, 972, 211 is 1
GCD(168, 192, 972, 211) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.