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 629, 406, 425, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 629, 406, 425, 171 is 1
GCD(629, 406, 425, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 629, 406, 425, 171 is 1
GCD(629, 406, 425, 171) = 1
Given Input numbers are 629, 406, 425, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 629, 406, 425, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 406, 425, 171 is 1.
Therefore, GCD of numbers 629, 406, 425, 171 is 1
Given Input Data is 629, 406, 425, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 629 is 17 x 37
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 171 is 3 x 3 x 19
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(629, 406) = 255374
GCD(629, 406) = ( 629 x 406 ) / 255374
GCD(629, 406) = 255374 / 255374
GCD(629, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 629, 406, 425, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 629, 406, 425, 171?
GCD of 629, 406, 425, 171 is 1
2. Where do I get the detailed procedure to find GCD of 629, 406, 425, 171?
You can find a detailed procedure to find GCD of 629, 406, 425, 171 on our page.
3. How to find GCD of 629, 406, 425, 171 on a calculator?
You can find the GCD of 629, 406, 425, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.