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 152, 972, 326, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 972, 326, 129 is 1
GCD(152, 972, 326, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 972, 326, 129 is 1
GCD(152, 972, 326, 129) = 1
Given Input numbers are 152, 972, 326, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
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 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 152, 972, 326, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 972, 326, 129 is 1.
Therefore, GCD of numbers 152, 972, 326, 129 is 1
Given Input Data is 152, 972, 326, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 326 is 2 x 163
Prime Factorization of 129 is 3 x 43
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(152, 972) = 36936
GCD(152, 972) = ( 152 x 972 ) / 36936
GCD(152, 972) = 147744 / 36936
GCD(152, 972) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 326) = 652
GCD(4, 326) = ( 4 x 326 ) / 652
GCD(4, 326) = 1304 / 652
GCD(4, 326) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 129) = 258
GCD(2, 129) = ( 2 x 129 ) / 258
GCD(2, 129) = 258 / 258
GCD(2, 129) = 1
GCD of 152, 972, 326, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 972, 326, 129?
GCD of 152, 972, 326, 129 is 1
2. Where do I get the detailed procedure to find GCD of 152, 972, 326, 129?
You can find a detailed procedure to find GCD of 152, 972, 326, 129 on our page.
3. How to find GCD of 152, 972, 326, 129 on a calculator?
You can find the GCD of 152, 972, 326, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.