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 398, 823, 572, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 823, 572, 215 is 1
GCD(398, 823, 572, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 823, 572, 215 is 1
GCD(398, 823, 572, 215) = 1
Given Input numbers are 398, 823, 572, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 398, 823, 572, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 823, 572, 215 is 1.
Therefore, GCD of numbers 398, 823, 572, 215 is 1
Given Input Data is 398, 823, 572, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 823 is 823
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 215 is 5 x 43
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(398, 823) = 327554
GCD(398, 823) = ( 398 x 823 ) / 327554
GCD(398, 823) = 327554 / 327554
GCD(398, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 398, 823, 572, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 823, 572, 215?
GCD of 398, 823, 572, 215 is 1
2. Where do I get the detailed procedure to find GCD of 398, 823, 572, 215?
You can find a detailed procedure to find GCD of 398, 823, 572, 215 on our page.
3. How to find GCD of 398, 823, 572, 215 on a calculator?
You can find the GCD of 398, 823, 572, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.