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 273, 331, 561, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 331, 561, 993 is 1
GCD(273, 331, 561, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 331, 561, 993 is 1
GCD(273, 331, 561, 993) = 1
Given Input numbers are 273, 331, 561, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
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 273, 331, 561, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 331, 561, 993 is 1.
Therefore, GCD of numbers 273, 331, 561, 993 is 1
Given Input Data is 273, 331, 561, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 331 is 331
Prime Factorization of 561 is 3 x 11 x 17
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(273, 331) = 90363
GCD(273, 331) = ( 273 x 331 ) / 90363
GCD(273, 331) = 90363 / 90363
GCD(273, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 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 273, 331, 561, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 331, 561, 993?
GCD of 273, 331, 561, 993 is 1
2. Where do I get the detailed procedure to find GCD of 273, 331, 561, 993?
You can find a detailed procedure to find GCD of 273, 331, 561, 993 on our page.
3. How to find GCD of 273, 331, 561, 993 on a calculator?
You can find the GCD of 273, 331, 561, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.