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 939, 440, 523, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 440, 523, 361 is 1
GCD(939, 440, 523, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 440, 523, 361 is 1
GCD(939, 440, 523, 361) = 1
Given Input numbers are 939, 440, 523, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 939, 440, 523, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 440, 523, 361 is 1.
Therefore, GCD of numbers 939, 440, 523, 361 is 1
Given Input Data is 939, 440, 523, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 523 is 523
Prime Factorization of 361 is 19 x 19
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(939, 440) = 413160
GCD(939, 440) = ( 939 x 440 ) / 413160
GCD(939, 440) = 413160 / 413160
GCD(939, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 939, 440, 523, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 440, 523, 361?
GCD of 939, 440, 523, 361 is 1
2. Where do I get the detailed procedure to find GCD of 939, 440, 523, 361?
You can find a detailed procedure to find GCD of 939, 440, 523, 361 on our page.
3. How to find GCD of 939, 440, 523, 361 on a calculator?
You can find the GCD of 939, 440, 523, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.