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 250, 823, 19, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 823, 19, 312 is 1
GCD(250, 823, 19, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 823, 19, 312 is 1
GCD(250, 823, 19, 312) = 1
Given Input numbers are 250, 823, 19, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 250, 823, 19, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 823, 19, 312 is 1.
Therefore, GCD of numbers 250, 823, 19, 312 is 1
Given Input Data is 250, 823, 19, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 823 is 823
Prime Factorization of 19 is 19
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(250, 823) = 205750
GCD(250, 823) = ( 250 x 823 ) / 205750
GCD(250, 823) = 205750 / 205750
GCD(250, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 250, 823, 19, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 823, 19, 312?
GCD of 250, 823, 19, 312 is 1
2. Where do I get the detailed procedure to find GCD of 250, 823, 19, 312?
You can find a detailed procedure to find GCD of 250, 823, 19, 312 on our page.
3. How to find GCD of 250, 823, 19, 312 on a calculator?
You can find the GCD of 250, 823, 19, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.