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 252, 390, 50, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 390, 50, 219 is 1
GCD(252, 390, 50, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 390, 50, 219 is 1
GCD(252, 390, 50, 219) = 1
Given Input numbers are 252, 390, 50, 219
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Greatest Common Divisior
We found the divisors of 252, 390, 50, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 390, 50, 219 is 1.
Therefore, GCD of numbers 252, 390, 50, 219 is 1
Given Input Data is 252, 390, 50, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 219 is 3 x 73
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(252, 390) = 16380
GCD(252, 390) = ( 252 x 390 ) / 16380
GCD(252, 390) = 98280 / 16380
GCD(252, 390) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 50) = 150
GCD(6, 50) = ( 6 x 50 ) / 150
GCD(6, 50) = 300 / 150
GCD(6, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 219) = 438
GCD(2, 219) = ( 2 x 219 ) / 438
GCD(2, 219) = 438 / 438
GCD(2, 219) = 1
GCD of 252, 390, 50, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 390, 50, 219?
GCD of 252, 390, 50, 219 is 1
2. Where do I get the detailed procedure to find GCD of 252, 390, 50, 219?
You can find a detailed procedure to find GCD of 252, 390, 50, 219 on our page.
3. How to find GCD of 252, 390, 50, 219 on a calculator?
You can find the GCD of 252, 390, 50, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.