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 369, 422, 890, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 422, 890, 884 is 1
GCD(369, 422, 890, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 422, 890, 884 is 1
GCD(369, 422, 890, 884) = 1
Given Input numbers are 369, 422, 890, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 369, 422, 890, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 422, 890, 884 is 1.
Therefore, GCD of numbers 369, 422, 890, 884 is 1
Given Input Data is 369, 422, 890, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 422 is 2 x 211
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(369, 422) = 155718
GCD(369, 422) = ( 369 x 422 ) / 155718
GCD(369, 422) = 155718 / 155718
GCD(369, 422) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 369, 422, 890, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 422, 890, 884?
GCD of 369, 422, 890, 884 is 1
2. Where do I get the detailed procedure to find GCD of 369, 422, 890, 884?
You can find a detailed procedure to find GCD of 369, 422, 890, 884 on our page.
3. How to find GCD of 369, 422, 890, 884 on a calculator?
You can find the GCD of 369, 422, 890, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.