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 397, 125, 497, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 125, 497, 409 is 1
GCD(397, 125, 497, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 125, 497, 409 is 1
GCD(397, 125, 497, 409) = 1
Given Input numbers are 397, 125, 497, 409
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 397, 125, 497, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 125, 497, 409 is 1.
Therefore, GCD of numbers 397, 125, 497, 409 is 1
Given Input Data is 397, 125, 497, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 497 is 7 x 71
Prime Factorization of 409 is 409
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(397, 125) = 49625
GCD(397, 125) = ( 397 x 125 ) / 49625
GCD(397, 125) = 49625 / 49625
GCD(397, 125) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
GCD(1, 497) = 497 / 497
GCD(1, 497) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
GCD of 397, 125, 497, 409 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 125, 497, 409?
GCD of 397, 125, 497, 409 is 1
2. Where do I get the detailed procedure to find GCD of 397, 125, 497, 409?
You can find a detailed procedure to find GCD of 397, 125, 497, 409 on our page.
3. How to find GCD of 397, 125, 497, 409 on a calculator?
You can find the GCD of 397, 125, 497, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.