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 189, 899, 22, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 899, 22, 834 is 1
GCD(189, 899, 22, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 899, 22, 834 is 1
GCD(189, 899, 22, 834) = 1
Given Input numbers are 189, 899, 22, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 189, 899, 22, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 899, 22, 834 is 1.
Therefore, GCD of numbers 189, 899, 22, 834 is 1
Given Input Data is 189, 899, 22, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 899 is 29 x 31
Prime Factorization of 22 is 2 x 11
Prime Factorization of 834 is 2 x 3 x 139
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(189, 899) = 169911
GCD(189, 899) = ( 189 x 899 ) / 169911
GCD(189, 899) = 169911 / 169911
GCD(189, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 189, 899, 22, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 899, 22, 834?
GCD of 189, 899, 22, 834 is 1
2. Where do I get the detailed procedure to find GCD of 189, 899, 22, 834?
You can find a detailed procedure to find GCD of 189, 899, 22, 834 on our page.
3. How to find GCD of 189, 899, 22, 834 on a calculator?
You can find the GCD of 189, 899, 22, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.