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 409, 730, 126, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 409, 730, 126, 634 is 1
GCD(409, 730, 126, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 409, 730, 126, 634 is 1
GCD(409, 730, 126, 634) = 1
Given Input numbers are 409, 730, 126, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 409, 730, 126, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 730, 126, 634 is 1.
Therefore, GCD of numbers 409, 730, 126, 634 is 1
Given Input Data is 409, 730, 126, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 409 is 409
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 634 is 2 x 317
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(409, 730) = 298570
GCD(409, 730) = ( 409 x 730 ) / 298570
GCD(409, 730) = 298570 / 298570
GCD(409, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 409, 730, 126, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 409, 730, 126, 634?
GCD of 409, 730, 126, 634 is 1
2. Where do I get the detailed procedure to find GCD of 409, 730, 126, 634?
You can find a detailed procedure to find GCD of 409, 730, 126, 634 on our page.
3. How to find GCD of 409, 730, 126, 634 on a calculator?
You can find the GCD of 409, 730, 126, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.