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 531, 768, 78, 572 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 768, 78, 572 is 1
GCD(531, 768, 78, 572) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 768, 78, 572 is 1
GCD(531, 768, 78, 572) = 1
Given Input numbers are 531, 768, 78, 572
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Greatest Common Divisior
We found the divisors of 531, 768, 78, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 768, 78, 572 is 1.
Therefore, GCD of numbers 531, 768, 78, 572 is 1
Given Input Data is 531, 768, 78, 572
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 572 is 2 x 2 x 11 x 13
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(531, 768) = 135936
GCD(531, 768) = ( 531 x 768 ) / 135936
GCD(531, 768) = 407808 / 135936
GCD(531, 768) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 572) = 1716
GCD(3, 572) = ( 3 x 572 ) / 1716
GCD(3, 572) = 1716 / 1716
GCD(3, 572) = 1
GCD of 531, 768, 78, 572 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 768, 78, 572?
GCD of 531, 768, 78, 572 is 1
2. Where do I get the detailed procedure to find GCD of 531, 768, 78, 572?
You can find a detailed procedure to find GCD of 531, 768, 78, 572 on our page.
3. How to find GCD of 531, 768, 78, 572 on a calculator?
You can find the GCD of 531, 768, 78, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.