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 399, 277, 820, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 277, 820, 813 is 1
GCD(399, 277, 820, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 277, 820, 813 is 1
GCD(399, 277, 820, 813) = 1
Given Input numbers are 399, 277, 820, 813
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 399, 277, 820, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 277, 820, 813 is 1.
Therefore, GCD of numbers 399, 277, 820, 813 is 1
Given Input Data is 399, 277, 820, 813
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 277 is 277
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 813 is 3 x 271
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(399, 277) = 110523
GCD(399, 277) = ( 399 x 277 ) / 110523
GCD(399, 277) = 110523 / 110523
GCD(399, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
GCD of 399, 277, 820, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 277, 820, 813?
GCD of 399, 277, 820, 813 is 1
2. Where do I get the detailed procedure to find GCD of 399, 277, 820, 813?
You can find a detailed procedure to find GCD of 399, 277, 820, 813 on our page.
3. How to find GCD of 399, 277, 820, 813 on a calculator?
You can find the GCD of 399, 277, 820, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.