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, 332, 89, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 332, 89, 789 is 1
GCD(936, 332, 89, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 332, 89, 789 is 1
GCD(936, 332, 89, 789) = 1
Given Input numbers are 936, 332, 89, 789
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 936, 332, 89, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 332, 89, 789 is 1.
Therefore, GCD of numbers 936, 332, 89, 789 is 1
Given Input Data is 936, 332, 89, 789
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 332 is 2 x 2 x 83
Prime Factorization of 89 is 89
Prime Factorization of 789 is 3 x 263
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, 332) = 77688
GCD(936, 332) = ( 936 x 332 ) / 77688
GCD(936, 332) = 310752 / 77688
GCD(936, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 89) = 356
GCD(4, 89) = ( 4 x 89 ) / 356
GCD(4, 89) = 356 / 356
GCD(4, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 936, 332, 89, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 332, 89, 789?
GCD of 936, 332, 89, 789 is 1
2. Where do I get the detailed procedure to find GCD of 936, 332, 89, 789?
You can find a detailed procedure to find GCD of 936, 332, 89, 789 on our page.
3. How to find GCD of 936, 332, 89, 789 on a calculator?
You can find the GCD of 936, 332, 89, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.