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 413, 350, 15, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 350, 15, 239 is 1
GCD(413, 350, 15, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 350, 15, 239 is 1
GCD(413, 350, 15, 239) = 1
Given Input numbers are 413, 350, 15, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 413, 350, 15, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 350, 15, 239 is 1.
Therefore, GCD of numbers 413, 350, 15, 239 is 1
Given Input Data is 413, 350, 15, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 15 is 3 x 5
Prime Factorization of 239 is 239
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(413, 350) = 20650
GCD(413, 350) = ( 413 x 350 ) / 20650
GCD(413, 350) = 144550 / 20650
GCD(413, 350) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 15) = 105
GCD(7, 15) = ( 7 x 15 ) / 105
GCD(7, 15) = 105 / 105
GCD(7, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 413, 350, 15, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 350, 15, 239?
GCD of 413, 350, 15, 239 is 1
2. Where do I get the detailed procedure to find GCD of 413, 350, 15, 239?
You can find a detailed procedure to find GCD of 413, 350, 15, 239 on our page.
3. How to find GCD of 413, 350, 15, 239 on a calculator?
You can find the GCD of 413, 350, 15, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.