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 381, 697, 159, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 697, 159, 822 is 1
GCD(381, 697, 159, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 697, 159, 822 is 1
GCD(381, 697, 159, 822) = 1
Given Input numbers are 381, 697, 159, 822
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Greatest Common Divisior
We found the divisors of 381, 697, 159, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 697, 159, 822 is 1.
Therefore, GCD of numbers 381, 697, 159, 822 is 1
Given Input Data is 381, 697, 159, 822
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 697 is 17 x 41
Prime Factorization of 159 is 3 x 53
Prime Factorization of 822 is 2 x 3 x 137
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(381, 697) = 265557
GCD(381, 697) = ( 381 x 697 ) / 265557
GCD(381, 697) = 265557 / 265557
GCD(381, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
GCD of 381, 697, 159, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 697, 159, 822?
GCD of 381, 697, 159, 822 is 1
2. Where do I get the detailed procedure to find GCD of 381, 697, 159, 822?
You can find a detailed procedure to find GCD of 381, 697, 159, 822 on our page.
3. How to find GCD of 381, 697, 159, 822 on a calculator?
You can find the GCD of 381, 697, 159, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.