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 627, 950, 399 i.e. 19 largest integer that divides all the numbers equally.
GCD of 627, 950, 399 is 19
GCD(627, 950, 399) = 19
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 950, 399 is 19
GCD(627, 950, 399) = 19
Given Input numbers are 627, 950, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 627, 950, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 950, 399 is 19.
Therefore, GCD of numbers 627, 950, 399 is 19
Given Input Data is 627, 950, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 399 is 3 x 7 x 19
Highest common occurrences in the given inputs are 191
Multiplying them we get the GCD as 19
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(627, 950) = 31350
GCD(627, 950) = ( 627 x 950 ) / 31350
GCD(627, 950) = 595650 / 31350
GCD(627, 950) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 399) = 399
GCD(19, 399) = ( 19 x 399 ) / 399
GCD(19, 399) = 7581 / 399
GCD(19, 399) = 19
GCD of 627, 950, 399 is 19
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 950, 399?
GCD of 627, 950, 399 is 19
2. Where do I get the detailed procedure to find GCD of 627, 950, 399?
You can find a detailed procedure to find GCD of 627, 950, 399 on our page.
3. How to find GCD of 627, 950, 399 on a calculator?
You can find the GCD of 627, 950, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.