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 29, 139, 369, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 139, 369, 164 is 1
GCD(29, 139, 369, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 139, 369, 164 is 1
GCD(29, 139, 369, 164) = 1
Given Input numbers are 29, 139, 369, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 29, 139, 369, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 139, 369, 164 is 1.
Therefore, GCD of numbers 29, 139, 369, 164 is 1
Given Input Data is 29, 139, 369, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 139 is 139
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 164 is 2 x 2 x 41
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(29, 139) = 4031
GCD(29, 139) = ( 29 x 139 ) / 4031
GCD(29, 139) = 4031 / 4031
GCD(29, 139) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 29, 139, 369, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 139, 369, 164?
GCD of 29, 139, 369, 164 is 1
2. Where do I get the detailed procedure to find GCD of 29, 139, 369, 164?
You can find a detailed procedure to find GCD of 29, 139, 369, 164 on our page.
3. How to find GCD of 29, 139, 369, 164 on a calculator?
You can find the GCD of 29, 139, 369, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.