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 395, 843, 20, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 843, 20, 529 is 1
GCD(395, 843, 20, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 843, 20, 529 is 1
GCD(395, 843, 20, 529) = 1
Given Input numbers are 395, 843, 20, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 395, 843, 20, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 843, 20, 529 is 1.
Therefore, GCD of numbers 395, 843, 20, 529 is 1
Given Input Data is 395, 843, 20, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 843 is 3 x 281
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 529 is 23 x 23
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(395, 843) = 332985
GCD(395, 843) = ( 395 x 843 ) / 332985
GCD(395, 843) = 332985 / 332985
GCD(395, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 395, 843, 20, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 843, 20, 529?
GCD of 395, 843, 20, 529 is 1
2. Where do I get the detailed procedure to find GCD of 395, 843, 20, 529?
You can find a detailed procedure to find GCD of 395, 843, 20, 529 on our page.
3. How to find GCD of 395, 843, 20, 529 on a calculator?
You can find the GCD of 395, 843, 20, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.