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 794, 936, 20, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 936, 20, 565 is 1
GCD(794, 936, 20, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 936, 20, 565 is 1
GCD(794, 936, 20, 565) = 1
Given Input numbers are 794, 936, 20, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
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 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 794, 936, 20, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 936, 20, 565 is 1.
Therefore, GCD of numbers 794, 936, 20, 565 is 1
Given Input Data is 794, 936, 20, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 565 is 5 x 113
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(794, 936) = 371592
GCD(794, 936) = ( 794 x 936 ) / 371592
GCD(794, 936) = 743184 / 371592
GCD(794, 936) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 565) = 1130
GCD(2, 565) = ( 2 x 565 ) / 1130
GCD(2, 565) = 1130 / 1130
GCD(2, 565) = 1
GCD of 794, 936, 20, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 936, 20, 565?
GCD of 794, 936, 20, 565 is 1
2. Where do I get the detailed procedure to find GCD of 794, 936, 20, 565?
You can find a detailed procedure to find GCD of 794, 936, 20, 565 on our page.
3. How to find GCD of 794, 936, 20, 565 on a calculator?
You can find the GCD of 794, 936, 20, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.