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 572, 398, 91, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 398, 91, 815 is 1
GCD(572, 398, 91, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 398, 91, 815 is 1
GCD(572, 398, 91, 815) = 1
Given Input numbers are 572, 398, 91, 815
To find the GCD of numbers using factoring list out all the divisors of each number
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 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 572, 398, 91, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 398, 91, 815 is 1.
Therefore, GCD of numbers 572, 398, 91, 815 is 1
Given Input Data is 572, 398, 91, 815
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 398 is 2 x 199
Prime Factorization of 91 is 7 x 13
Prime Factorization of 815 is 5 x 163
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(572, 398) = 113828
GCD(572, 398) = ( 572 x 398 ) / 113828
GCD(572, 398) = 227656 / 113828
GCD(572, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
GCD of 572, 398, 91, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 398, 91, 815?
GCD of 572, 398, 91, 815 is 1
2. Where do I get the detailed procedure to find GCD of 572, 398, 91, 815?
You can find a detailed procedure to find GCD of 572, 398, 91, 815 on our page.
3. How to find GCD of 572, 398, 91, 815 on a calculator?
You can find the GCD of 572, 398, 91, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.