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, 738, 968, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 738, 968, 576 is 1
GCD(539, 738, 968, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 738, 968, 576 is 1
GCD(539, 738, 968, 576) = 1
Given Input numbers are 539, 738, 968, 576
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 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 539, 738, 968, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 738, 968, 576 is 1.
Therefore, GCD of numbers 539, 738, 968, 576 is 1
Given Input Data is 539, 738, 968, 576
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 738 is 2 x 3 x 3 x 41
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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, 738) = 397782
GCD(539, 738) = ( 539 x 738 ) / 397782
GCD(539, 738) = 397782 / 397782
GCD(539, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 539, 738, 968, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 738, 968, 576?
GCD of 539, 738, 968, 576 is 1
2. Where do I get the detailed procedure to find GCD of 539, 738, 968, 576?
You can find a detailed procedure to find GCD of 539, 738, 968, 576 on our page.
3. How to find GCD of 539, 738, 968, 576 on a calculator?
You can find the GCD of 539, 738, 968, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.