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, 363, 967, 313 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 363, 967, 313 is 1
GCD(539, 363, 967, 313) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 363, 967, 313 is 1
GCD(539, 363, 967, 313) = 1
Given Input numbers are 539, 363, 967, 313
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 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Greatest Common Divisior
We found the divisors of 539, 363, 967, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 363, 967, 313 is 1.
Therefore, GCD of numbers 539, 363, 967, 313 is 1
Given Input Data is 539, 363, 967, 313
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 363 is 3 x 11 x 11
Prime Factorization of 967 is 967
Prime Factorization of 313 is 313
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, 363) = 17787
GCD(539, 363) = ( 539 x 363 ) / 17787
GCD(539, 363) = 195657 / 17787
GCD(539, 363) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 967) = 10637
GCD(11, 967) = ( 11 x 967 ) / 10637
GCD(11, 967) = 10637 / 10637
GCD(11, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
GCD of 539, 363, 967, 313 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 363, 967, 313?
GCD of 539, 363, 967, 313 is 1
2. Where do I get the detailed procedure to find GCD of 539, 363, 967, 313?
You can find a detailed procedure to find GCD of 539, 363, 967, 313 on our page.
3. How to find GCD of 539, 363, 967, 313 on a calculator?
You can find the GCD of 539, 363, 967, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.