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 188, 729, 53, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 188, 729, 53, 139 is 1
GCD(188, 729, 53, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 729, 53, 139 is 1
GCD(188, 729, 53, 139) = 1
Given Input numbers are 188, 729, 53, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 188, 729, 53, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 729, 53, 139 is 1.
Therefore, GCD of numbers 188, 729, 53, 139 is 1
Given Input Data is 188, 729, 53, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 53 is 53
Prime Factorization of 139 is 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(188, 729) = 137052
GCD(188, 729) = ( 188 x 729 ) / 137052
GCD(188, 729) = 137052 / 137052
GCD(188, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 188, 729, 53, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 729, 53, 139?
GCD of 188, 729, 53, 139 is 1
2. Where do I get the detailed procedure to find GCD of 188, 729, 53, 139?
You can find a detailed procedure to find GCD of 188, 729, 53, 139 on our page.
3. How to find GCD of 188, 729, 53, 139 on a calculator?
You can find the GCD of 188, 729, 53, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.