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, 731, 449, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 731, 449, 652 is 1
GCD(156, 731, 449, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 731, 449, 652 is 1
GCD(156, 731, 449, 652) = 1
Given Input numbers are 156, 731, 449, 652
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 156, 731, 449, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 731, 449, 652 is 1.
Therefore, GCD of numbers 156, 731, 449, 652 is 1
Given Input Data is 156, 731, 449, 652
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 731 is 17 x 43
Prime Factorization of 449 is 449
Prime Factorization of 652 is 2 x 2 x 163
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, 731) = 114036
GCD(156, 731) = ( 156 x 731 ) / 114036
GCD(156, 731) = 114036 / 114036
GCD(156, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 156, 731, 449, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 731, 449, 652?
GCD of 156, 731, 449, 652 is 1
2. Where do I get the detailed procedure to find GCD of 156, 731, 449, 652?
You can find a detailed procedure to find GCD of 156, 731, 449, 652 on our page.
3. How to find GCD of 156, 731, 449, 652 on a calculator?
You can find the GCD of 156, 731, 449, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.