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 366, 823, 253, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 823, 253, 994 is 1
GCD(366, 823, 253, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 823, 253, 994 is 1
GCD(366, 823, 253, 994) = 1
Given Input numbers are 366, 823, 253, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 366, 823, 253, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 823, 253, 994 is 1.
Therefore, GCD of numbers 366, 823, 253, 994 is 1
Given Input Data is 366, 823, 253, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 823 is 823
Prime Factorization of 253 is 11 x 23
Prime Factorization of 994 is 2 x 7 x 71
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(366, 823) = 301218
GCD(366, 823) = ( 366 x 823 ) / 301218
GCD(366, 823) = 301218 / 301218
GCD(366, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 366, 823, 253, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 823, 253, 994?
GCD of 366, 823, 253, 994 is 1
2. Where do I get the detailed procedure to find GCD of 366, 823, 253, 994?
You can find a detailed procedure to find GCD of 366, 823, 253, 994 on our page.
3. How to find GCD of 366, 823, 253, 994 on a calculator?
You can find the GCD of 366, 823, 253, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.