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 963, 214, 52, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 214, 52, 592 is 1
GCD(963, 214, 52, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 214, 52, 592 is 1
GCD(963, 214, 52, 592) = 1
Given Input numbers are 963, 214, 52, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 963, 214, 52, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 214, 52, 592 is 1.
Therefore, GCD of numbers 963, 214, 52, 592 is 1
Given Input Data is 963, 214, 52, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 214 is 2 x 107
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(963, 214) = 1926
GCD(963, 214) = ( 963 x 214 ) / 1926
GCD(963, 214) = 206082 / 1926
GCD(963, 214) = 107
Step2:
Here we consider the GCD from the above i.e. 107 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(107, 52) = 5564
GCD(107, 52) = ( 107 x 52 ) / 5564
GCD(107, 52) = 5564 / 5564
GCD(107, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 963, 214, 52, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 214, 52, 592?
GCD of 963, 214, 52, 592 is 1
2. Where do I get the detailed procedure to find GCD of 963, 214, 52, 592?
You can find a detailed procedure to find GCD of 963, 214, 52, 592 on our page.
3. How to find GCD of 963, 214, 52, 592 on a calculator?
You can find the GCD of 963, 214, 52, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.