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, 511, 87, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 511, 87, 324 is 1
GCD(395, 511, 87, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 511, 87, 324 is 1
GCD(395, 511, 87, 324) = 1
Given Input numbers are 395, 511, 87, 324
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 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 395, 511, 87, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 511, 87, 324 is 1.
Therefore, GCD of numbers 395, 511, 87, 324 is 1
Given Input Data is 395, 511, 87, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 511 is 7 x 73
Prime Factorization of 87 is 3 x 29
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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, 511) = 201845
GCD(395, 511) = ( 395 x 511 ) / 201845
GCD(395, 511) = 201845 / 201845
GCD(395, 511) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 395, 511, 87, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 511, 87, 324?
GCD of 395, 511, 87, 324 is 1
2. Where do I get the detailed procedure to find GCD of 395, 511, 87, 324?
You can find a detailed procedure to find GCD of 395, 511, 87, 324 on our page.
3. How to find GCD of 395, 511, 87, 324 on a calculator?
You can find the GCD of 395, 511, 87, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.