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 950, 683, 15, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 950, 683, 15, 214 is 1
GCD(950, 683, 15, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 950, 683, 15, 214 is 1
GCD(950, 683, 15, 214) = 1
Given Input numbers are 950, 683, 15, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 950, 683, 15, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 683, 15, 214 is 1.
Therefore, GCD of numbers 950, 683, 15, 214 is 1
Given Input Data is 950, 683, 15, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 683 is 683
Prime Factorization of 15 is 3 x 5
Prime Factorization of 214 is 2 x 107
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(950, 683) = 648850
GCD(950, 683) = ( 950 x 683 ) / 648850
GCD(950, 683) = 648850 / 648850
GCD(950, 683) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 950, 683, 15, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 950, 683, 15, 214?
GCD of 950, 683, 15, 214 is 1
2. Where do I get the detailed procedure to find GCD of 950, 683, 15, 214?
You can find a detailed procedure to find GCD of 950, 683, 15, 214 on our page.
3. How to find GCD of 950, 683, 15, 214 on a calculator?
You can find the GCD of 950, 683, 15, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.