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, 990, 209, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 990, 209, 687 is 1
GCD(156, 990, 209, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 990, 209, 687 is 1
GCD(156, 990, 209, 687) = 1
Given Input numbers are 156, 990, 209, 687
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 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
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 156, 990, 209, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 990, 209, 687 is 1.
Therefore, GCD of numbers 156, 990, 209, 687 is 1
Given Input Data is 156, 990, 209, 687
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 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 209 is 11 x 19
Prime Factorization of 687 is 3 x 229
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, 990) = 25740
GCD(156, 990) = ( 156 x 990 ) / 25740
GCD(156, 990) = 154440 / 25740
GCD(156, 990) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 209) = 1254
GCD(6, 209) = ( 6 x 209 ) / 1254
GCD(6, 209) = 1254 / 1254
GCD(6, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 156, 990, 209, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 990, 209, 687?
GCD of 156, 990, 209, 687 is 1
2. Where do I get the detailed procedure to find GCD of 156, 990, 209, 687?
You can find a detailed procedure to find GCD of 156, 990, 209, 687 on our page.
3. How to find GCD of 156, 990, 209, 687 on a calculator?
You can find the GCD of 156, 990, 209, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.