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 931, 452, 966, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 452, 966, 355 is 1
GCD(931, 452, 966, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 452, 966, 355 is 1
GCD(931, 452, 966, 355) = 1
Given Input numbers are 931, 452, 966, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 931, 452, 966, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 452, 966, 355 is 1.
Therefore, GCD of numbers 931, 452, 966, 355 is 1
Given Input Data is 931, 452, 966, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 355 is 5 x 71
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(931, 452) = 420812
GCD(931, 452) = ( 931 x 452 ) / 420812
GCD(931, 452) = 420812 / 420812
GCD(931, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 931, 452, 966, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 452, 966, 355?
GCD of 931, 452, 966, 355 is 1
2. Where do I get the detailed procedure to find GCD of 931, 452, 966, 355?
You can find a detailed procedure to find GCD of 931, 452, 966, 355 on our page.
3. How to find GCD of 931, 452, 966, 355 on a calculator?
You can find the GCD of 931, 452, 966, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.