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 505, 327, 32, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 327, 32, 824 is 1
GCD(505, 327, 32, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 327, 32, 824 is 1
GCD(505, 327, 32, 824) = 1
Given Input numbers are 505, 327, 32, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 505, 327, 32, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 327, 32, 824 is 1.
Therefore, GCD of numbers 505, 327, 32, 824 is 1
Given Input Data is 505, 327, 32, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 327 is 3 x 109
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(505, 327) = 165135
GCD(505, 327) = ( 505 x 327 ) / 165135
GCD(505, 327) = 165135 / 165135
GCD(505, 327) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 505, 327, 32, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 327, 32, 824?
GCD of 505, 327, 32, 824 is 1
2. Where do I get the detailed procedure to find GCD of 505, 327, 32, 824?
You can find a detailed procedure to find GCD of 505, 327, 32, 824 on our page.
3. How to find GCD of 505, 327, 32, 824 on a calculator?
You can find the GCD of 505, 327, 32, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.