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, 243, 69, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 243, 69, 793 is 1
GCD(531, 243, 69, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 243, 69, 793 is 1
GCD(531, 243, 69, 793) = 1
Given Input numbers are 531, 243, 69, 793
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 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 531, 243, 69, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 243, 69, 793 is 1.
Therefore, GCD of numbers 531, 243, 69, 793 is 1
Given Input Data is 531, 243, 69, 793
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 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 69 is 3 x 23
Prime Factorization of 793 is 13 x 61
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, 243) = 14337
GCD(531, 243) = ( 531 x 243 ) / 14337
GCD(531, 243) = 129033 / 14337
GCD(531, 243) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 69) = 207
GCD(9, 69) = ( 9 x 69 ) / 207
GCD(9, 69) = 621 / 207
GCD(9, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 793) = 2379
GCD(3, 793) = ( 3 x 793 ) / 2379
GCD(3, 793) = 2379 / 2379
GCD(3, 793) = 1
GCD of 531, 243, 69, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 243, 69, 793?
GCD of 531, 243, 69, 793 is 1
2. Where do I get the detailed procedure to find GCD of 531, 243, 69, 793?
You can find a detailed procedure to find GCD of 531, 243, 69, 793 on our page.
3. How to find GCD of 531, 243, 69, 793 on a calculator?
You can find the GCD of 531, 243, 69, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.