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 11, 993, 825, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 993, 825, 247 is 1
GCD(11, 993, 825, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 993, 825, 247 is 1
GCD(11, 993, 825, 247) = 1
Given Input numbers are 11, 993, 825, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 11, 993, 825, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 993, 825, 247 is 1.
Therefore, GCD of numbers 11, 993, 825, 247 is 1
Given Input Data is 11, 993, 825, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 993 is 3 x 331
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 247 is 13 x 19
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(11, 993) = 10923
GCD(11, 993) = ( 11 x 993 ) / 10923
GCD(11, 993) = 10923 / 10923
GCD(11, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
GCD of 11, 993, 825, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 993, 825, 247?
GCD of 11, 993, 825, 247 is 1
2. Where do I get the detailed procedure to find GCD of 11, 993, 825, 247?
You can find a detailed procedure to find GCD of 11, 993, 825, 247 on our page.
3. How to find GCD of 11, 993, 825, 247 on a calculator?
You can find the GCD of 11, 993, 825, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.