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 250, 816, 21, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 816, 21, 936 is 1
GCD(250, 816, 21, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 816, 21, 936 is 1
GCD(250, 816, 21, 936) = 1
Given Input numbers are 250, 816, 21, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 250, 816, 21, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 816, 21, 936 is 1.
Therefore, GCD of numbers 250, 816, 21, 936 is 1
Given Input Data is 250, 816, 21, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 21 is 3 x 7
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(250, 816) = 102000
GCD(250, 816) = ( 250 x 816 ) / 102000
GCD(250, 816) = 204000 / 102000
GCD(250, 816) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 250, 816, 21, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 816, 21, 936?
GCD of 250, 816, 21, 936 is 1
2. Where do I get the detailed procedure to find GCD of 250, 816, 21, 936?
You can find a detailed procedure to find GCD of 250, 816, 21, 936 on our page.
3. How to find GCD of 250, 816, 21, 936 on a calculator?
You can find the GCD of 250, 816, 21, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.