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 50, 421, 556, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 421, 556, 359 is 1
GCD(50, 421, 556, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 421, 556, 359 is 1
GCD(50, 421, 556, 359) = 1
Given Input numbers are 50, 421, 556, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 50, 421, 556, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 421, 556, 359 is 1.
Therefore, GCD of numbers 50, 421, 556, 359 is 1
Given Input Data is 50, 421, 556, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 421 is 421
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 359 is 359
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(50, 421) = 21050
GCD(50, 421) = ( 50 x 421 ) / 21050
GCD(50, 421) = 21050 / 21050
GCD(50, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 50, 421, 556, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 421, 556, 359?
GCD of 50, 421, 556, 359 is 1
2. Where do I get the detailed procedure to find GCD of 50, 421, 556, 359?
You can find a detailed procedure to find GCD of 50, 421, 556, 359 on our page.
3. How to find GCD of 50, 421, 556, 359 on a calculator?
You can find the GCD of 50, 421, 556, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.