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, 573, 879, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 409, 573, 879, 138 is 1
GCD(409, 573, 879, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 409, 573, 879, 138 is 1
GCD(409, 573, 879, 138) = 1
Given Input numbers are 409, 573, 879, 138
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 409, 573, 879, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 573, 879, 138 is 1.
Therefore, GCD of numbers 409, 573, 879, 138 is 1
Given Input Data is 409, 573, 879, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 409 is 409
Prime Factorization of 573 is 3 x 191
Prime Factorization of 879 is 3 x 293
Prime Factorization of 138 is 2 x 3 x 23
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, 573) = 234357
GCD(409, 573) = ( 409 x 573 ) / 234357
GCD(409, 573) = 234357 / 234357
GCD(409, 573) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 409, 573, 879, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 409, 573, 879, 138?
GCD of 409, 573, 879, 138 is 1
2. Where do I get the detailed procedure to find GCD of 409, 573, 879, 138?
You can find a detailed procedure to find GCD of 409, 573, 879, 138 on our page.
3. How to find GCD of 409, 573, 879, 138 on a calculator?
You can find the GCD of 409, 573, 879, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.