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, 915, 788, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 915, 788, 778 is 1
GCD(936, 915, 788, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 915, 788, 778 is 1
GCD(936, 915, 788, 778) = 1
Given Input numbers are 936, 915, 788, 778
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 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 936, 915, 788, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 915, 788, 778 is 1.
Therefore, GCD of numbers 936, 915, 788, 778 is 1
Given Input Data is 936, 915, 788, 778
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 915 is 3 x 5 x 61
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 778 is 2 x 389
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, 915) = 285480
GCD(936, 915) = ( 936 x 915 ) / 285480
GCD(936, 915) = 856440 / 285480
GCD(936, 915) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 788) = 2364
GCD(3, 788) = ( 3 x 788 ) / 2364
GCD(3, 788) = 2364 / 2364
GCD(3, 788) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 936, 915, 788, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 915, 788, 778?
GCD of 936, 915, 788, 778 is 1
2. Where do I get the detailed procedure to find GCD of 936, 915, 788, 778?
You can find a detailed procedure to find GCD of 936, 915, 788, 778 on our page.
3. How to find GCD of 936, 915, 788, 778 on a calculator?
You can find the GCD of 936, 915, 788, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.