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, 663, 403, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 663, 403, 501 is 1
GCD(156, 663, 403, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 663, 403, 501 is 1
GCD(156, 663, 403, 501) = 1
Given Input numbers are 156, 663, 403, 501
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 156, 663, 403, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 663, 403, 501 is 1.
Therefore, GCD of numbers 156, 663, 403, 501 is 1
Given Input Data is 156, 663, 403, 501
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 663 is 3 x 13 x 17
Prime Factorization of 403 is 13 x 31
Prime Factorization of 501 is 3 x 167
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, 663) = 2652
GCD(156, 663) = ( 156 x 663 ) / 2652
GCD(156, 663) = 103428 / 2652
GCD(156, 663) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 403) = 1209
GCD(39, 403) = ( 39 x 403 ) / 1209
GCD(39, 403) = 15717 / 1209
GCD(39, 403) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 501) = 6513
GCD(13, 501) = ( 13 x 501 ) / 6513
GCD(13, 501) = 6513 / 6513
GCD(13, 501) = 1
GCD of 156, 663, 403, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 663, 403, 501?
GCD of 156, 663, 403, 501 is 1
2. Where do I get the detailed procedure to find GCD of 156, 663, 403, 501?
You can find a detailed procedure to find GCD of 156, 663, 403, 501 on our page.
3. How to find GCD of 156, 663, 403, 501 on a calculator?
You can find the GCD of 156, 663, 403, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.