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 539, 407, 33, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 407, 33, 788 is 1
GCD(539, 407, 33, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 407, 33, 788 is 1
GCD(539, 407, 33, 788) = 1
Given Input numbers are 539, 407, 33, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 539, 407, 33, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 407, 33, 788 is 1.
Therefore, GCD of numbers 539, 407, 33, 788 is 1
Given Input Data is 539, 407, 33, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 407 is 11 x 37
Prime Factorization of 33 is 3 x 11
Prime Factorization of 788 is 2 x 2 x 197
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(539, 407) = 19943
GCD(539, 407) = ( 539 x 407 ) / 19943
GCD(539, 407) = 219373 / 19943
GCD(539, 407) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 33) = 33
GCD(11, 33) = ( 11 x 33 ) / 33
GCD(11, 33) = 363 / 33
GCD(11, 33) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 788) = 8668
GCD(11, 788) = ( 11 x 788 ) / 8668
GCD(11, 788) = 8668 / 8668
GCD(11, 788) = 1
GCD of 539, 407, 33, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 407, 33, 788?
GCD of 539, 407, 33, 788 is 1
2. Where do I get the detailed procedure to find GCD of 539, 407, 33, 788?
You can find a detailed procedure to find GCD of 539, 407, 33, 788 on our page.
3. How to find GCD of 539, 407, 33, 788 on a calculator?
You can find the GCD of 539, 407, 33, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.