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, 474, 339, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 474, 339, 136 is 1
GCD(189, 474, 339, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 474, 339, 136 is 1
GCD(189, 474, 339, 136) = 1
Given Input numbers are 189, 474, 339, 136
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 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 189, 474, 339, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 474, 339, 136 is 1.
Therefore, GCD of numbers 189, 474, 339, 136 is 1
Given Input Data is 189, 474, 339, 136
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 474 is 2 x 3 x 79
Prime Factorization of 339 is 3 x 113
Prime Factorization of 136 is 2 x 2 x 2 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(189, 474) = 29862
GCD(189, 474) = ( 189 x 474 ) / 29862
GCD(189, 474) = 89586 / 29862
GCD(189, 474) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
GCD(3, 339) = 1017 / 339
GCD(3, 339) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
GCD(3, 136) = 408 / 408
GCD(3, 136) = 1
GCD of 189, 474, 339, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 474, 339, 136?
GCD of 189, 474, 339, 136 is 1
2. Where do I get the detailed procedure to find GCD of 189, 474, 339, 136?
You can find a detailed procedure to find GCD of 189, 474, 339, 136 on our page.
3. How to find GCD of 189, 474, 339, 136 on a calculator?
You can find the GCD of 189, 474, 339, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.