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 532, 999, 31, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 999, 31, 466 is 1
GCD(532, 999, 31, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 999, 31, 466 is 1
GCD(532, 999, 31, 466) = 1
Given Input numbers are 532, 999, 31, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 532, 999, 31, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 999, 31, 466 is 1.
Therefore, GCD of numbers 532, 999, 31, 466 is 1
Given Input Data is 532, 999, 31, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 31 is 31
Prime Factorization of 466 is 2 x 233
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(532, 999) = 531468
GCD(532, 999) = ( 532 x 999 ) / 531468
GCD(532, 999) = 531468 / 531468
GCD(532, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 532, 999, 31, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 999, 31, 466?
GCD of 532, 999, 31, 466 is 1
2. Where do I get the detailed procedure to find GCD of 532, 999, 31, 466?
You can find a detailed procedure to find GCD of 532, 999, 31, 466 on our page.
3. How to find GCD of 532, 999, 31, 466 on a calculator?
You can find the GCD of 532, 999, 31, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.