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 936, 663, 616, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 663, 616, 363 is 1
GCD(936, 663, 616, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 663, 616, 363 is 1
GCD(936, 663, 616, 363) = 1
Given Input numbers are 936, 663, 616, 363
To find the GCD of numbers using factoring list out all the divisors of each number
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
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 936, 663, 616, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 663, 616, 363 is 1.
Therefore, GCD of numbers 936, 663, 616, 363 is 1
Given Input Data is 936, 663, 616, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 363 is 3 x 11 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(936, 663) = 15912
GCD(936, 663) = ( 936 x 663 ) / 15912
GCD(936, 663) = 620568 / 15912
GCD(936, 663) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 616) = 24024
GCD(39, 616) = ( 39 x 616 ) / 24024
GCD(39, 616) = 24024 / 24024
GCD(39, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
GCD of 936, 663, 616, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 663, 616, 363?
GCD of 936, 663, 616, 363 is 1
2. Where do I get the detailed procedure to find GCD of 936, 663, 616, 363?
You can find a detailed procedure to find GCD of 936, 663, 616, 363 on our page.
3. How to find GCD of 936, 663, 616, 363 on a calculator?
You can find the GCD of 936, 663, 616, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.