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 269, 724, 27, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 724, 27, 993 is 1
GCD(269, 724, 27, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 724, 27, 993 is 1
GCD(269, 724, 27, 993) = 1
Given Input numbers are 269, 724, 27, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 269, 724, 27, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 724, 27, 993 is 1.
Therefore, GCD of numbers 269, 724, 27, 993 is 1
Given Input Data is 269, 724, 27, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 993 is 3 x 331
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(269, 724) = 194756
GCD(269, 724) = ( 269 x 724 ) / 194756
GCD(269, 724) = 194756 / 194756
GCD(269, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 269, 724, 27, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 724, 27, 993?
GCD of 269, 724, 27, 993 is 1
2. Where do I get the detailed procedure to find GCD of 269, 724, 27, 993?
You can find a detailed procedure to find GCD of 269, 724, 27, 993 on our page.
3. How to find GCD of 269, 724, 27, 993 on a calculator?
You can find the GCD of 269, 724, 27, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.