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 156, 339, 402, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 339, 402, 322 is 1
GCD(156, 339, 402, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 339, 402, 322 is 1
GCD(156, 339, 402, 322) = 1
Given Input numbers are 156, 339, 402, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 156, 339, 402, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 339, 402, 322 is 1.
Therefore, GCD of numbers 156, 339, 402, 322 is 1
Given Input Data is 156, 339, 402, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 339 is 3 x 113
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 322 is 2 x 7 x 23
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(156, 339) = 17628
GCD(156, 339) = ( 156 x 339 ) / 17628
GCD(156, 339) = 52884 / 17628
GCD(156, 339) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
GCD(3, 402) = 1206 / 402
GCD(3, 402) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 322) = 966
GCD(3, 322) = ( 3 x 322 ) / 966
GCD(3, 322) = 966 / 966
GCD(3, 322) = 1
GCD of 156, 339, 402, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 339, 402, 322?
GCD of 156, 339, 402, 322 is 1
2. Where do I get the detailed procedure to find GCD of 156, 339, 402, 322?
You can find a detailed procedure to find GCD of 156, 339, 402, 322 on our page.
3. How to find GCD of 156, 339, 402, 322 on a calculator?
You can find the GCD of 156, 339, 402, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.