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 36, 156, 503, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 156, 503, 990 is 1
GCD(36, 156, 503, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 156, 503, 990 is 1
GCD(36, 156, 503, 990) = 1
Given Input numbers are 36, 156, 503, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 36, 156, 503, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 156, 503, 990 is 1.
Therefore, GCD of numbers 36, 156, 503, 990 is 1
Given Input Data is 36, 156, 503, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 503 is 503
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
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(36, 156) = 468
GCD(36, 156) = ( 36 x 156 ) / 468
GCD(36, 156) = 5616 / 468
GCD(36, 156) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 503) = 6036
GCD(12, 503) = ( 12 x 503 ) / 6036
GCD(12, 503) = 6036 / 6036
GCD(12, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 36, 156, 503, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 156, 503, 990?
GCD of 36, 156, 503, 990 is 1
2. Where do I get the detailed procedure to find GCD of 36, 156, 503, 990?
You can find a detailed procedure to find GCD of 36, 156, 503, 990 on our page.
3. How to find GCD of 36, 156, 503, 990 on a calculator?
You can find the GCD of 36, 156, 503, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.