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 824, 359, 406, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 359, 406, 995 is 1
GCD(824, 359, 406, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 359, 406, 995 is 1
GCD(824, 359, 406, 995) = 1
Given Input numbers are 824, 359, 406, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 824, 359, 406, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 359, 406, 995 is 1.
Therefore, GCD of numbers 824, 359, 406, 995 is 1
Given Input Data is 824, 359, 406, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 359 is 359
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 995 is 5 x 199
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(824, 359) = 295816
GCD(824, 359) = ( 824 x 359 ) / 295816
GCD(824, 359) = 295816 / 295816
GCD(824, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 824, 359, 406, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 359, 406, 995?
GCD of 824, 359, 406, 995 is 1
2. Where do I get the detailed procedure to find GCD of 824, 359, 406, 995?
You can find a detailed procedure to find GCD of 824, 359, 406, 995 on our page.
3. How to find GCD of 824, 359, 406, 995 on a calculator?
You can find the GCD of 824, 359, 406, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.