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 253, 918, 47, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 918, 47, 822 is 1
GCD(253, 918, 47, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 918, 47, 822 is 1
GCD(253, 918, 47, 822) = 1
Given Input numbers are 253, 918, 47, 822
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Greatest Common Divisior
We found the divisors of 253, 918, 47, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 918, 47, 822 is 1.
Therefore, GCD of numbers 253, 918, 47, 822 is 1
Given Input Data is 253, 918, 47, 822
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 47 is 47
Prime Factorization of 822 is 2 x 3 x 137
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(253, 918) = 232254
GCD(253, 918) = ( 253 x 918 ) / 232254
GCD(253, 918) = 232254 / 232254
GCD(253, 918) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
GCD of 253, 918, 47, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 918, 47, 822?
GCD of 253, 918, 47, 822 is 1
2. Where do I get the detailed procedure to find GCD of 253, 918, 47, 822?
You can find a detailed procedure to find GCD of 253, 918, 47, 822 on our page.
3. How to find GCD of 253, 918, 47, 822 on a calculator?
You can find the GCD of 253, 918, 47, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.