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 396, 884, 539, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 884, 539, 958 is 1
GCD(396, 884, 539, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 884, 539, 958 is 1
GCD(396, 884, 539, 958) = 1
Given Input numbers are 396, 884, 539, 958
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 396, 884, 539, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 884, 539, 958 is 1.
Therefore, GCD of numbers 396, 884, 539, 958 is 1
Given Input Data is 396, 884, 539, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 958 is 2 x 479
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(396, 884) = 87516
GCD(396, 884) = ( 396 x 884 ) / 87516
GCD(396, 884) = 350064 / 87516
GCD(396, 884) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 539) = 2156
GCD(4, 539) = ( 4 x 539 ) / 2156
GCD(4, 539) = 2156 / 2156
GCD(4, 539) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 396, 884, 539, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 884, 539, 958?
GCD of 396, 884, 539, 958 is 1
2. Where do I get the detailed procedure to find GCD of 396, 884, 539, 958?
You can find a detailed procedure to find GCD of 396, 884, 539, 958 on our page.
3. How to find GCD of 396, 884, 539, 958 on a calculator?
You can find the GCD of 396, 884, 539, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.