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 185, 629, 36, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 185, 629, 36, 613 is 1
GCD(185, 629, 36, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 185, 629, 36, 613 is 1
GCD(185, 629, 36, 613) = 1
Given Input numbers are 185, 629, 36, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 185, 629, 36, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 629, 36, 613 is 1.
Therefore, GCD of numbers 185, 629, 36, 613 is 1
Given Input Data is 185, 629, 36, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 185 is 5 x 37
Prime Factorization of 629 is 17 x 37
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 613 is 613
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(185, 629) = 3145
GCD(185, 629) = ( 185 x 629 ) / 3145
GCD(185, 629) = 116365 / 3145
GCD(185, 629) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 36) = 1332
GCD(37, 36) = ( 37 x 36 ) / 1332
GCD(37, 36) = 1332 / 1332
GCD(37, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 185, 629, 36, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 185, 629, 36, 613?
GCD of 185, 629, 36, 613 is 1
2. Where do I get the detailed procedure to find GCD of 185, 629, 36, 613?
You can find a detailed procedure to find GCD of 185, 629, 36, 613 on our page.
3. How to find GCD of 185, 629, 36, 613 on a calculator?
You can find the GCD of 185, 629, 36, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.