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 137, 406, 52, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 406, 52, 394 is 1
GCD(137, 406, 52, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 406, 52, 394 is 1
GCD(137, 406, 52, 394) = 1
Given Input numbers are 137, 406, 52, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 137, 406, 52, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 406, 52, 394 is 1.
Therefore, GCD of numbers 137, 406, 52, 394 is 1
Given Input Data is 137, 406, 52, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 394 is 2 x 197
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(137, 406) = 55622
GCD(137, 406) = ( 137 x 406 ) / 55622
GCD(137, 406) = 55622 / 55622
GCD(137, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 137, 406, 52, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 406, 52, 394?
GCD of 137, 406, 52, 394 is 1
2. Where do I get the detailed procedure to find GCD of 137, 406, 52, 394?
You can find a detailed procedure to find GCD of 137, 406, 52, 394 on our page.
3. How to find GCD of 137, 406, 52, 394 on a calculator?
You can find the GCD of 137, 406, 52, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.