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 331, 939, 689, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 939, 689, 940 is 1
GCD(331, 939, 689, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 939, 689, 940 is 1
GCD(331, 939, 689, 940) = 1
Given Input numbers are 331, 939, 689, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 331, 939, 689, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 939, 689, 940 is 1.
Therefore, GCD of numbers 331, 939, 689, 940 is 1
Given Input Data is 331, 939, 689, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 939 is 3 x 313
Prime Factorization of 689 is 13 x 53
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(331, 939) = 310809
GCD(331, 939) = ( 331 x 939 ) / 310809
GCD(331, 939) = 310809 / 310809
GCD(331, 939) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 331, 939, 689, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 939, 689, 940?
GCD of 331, 939, 689, 940 is 1
2. Where do I get the detailed procedure to find GCD of 331, 939, 689, 940?
You can find a detailed procedure to find GCD of 331, 939, 689, 940 on our page.
3. How to find GCD of 331, 939, 689, 940 on a calculator?
You can find the GCD of 331, 939, 689, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.