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 993, 478, 506, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 478, 506, 917 is 1
GCD(993, 478, 506, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 478, 506, 917 is 1
GCD(993, 478, 506, 917) = 1
Given Input numbers are 993, 478, 506, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 993, 478, 506, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 478, 506, 917 is 1.
Therefore, GCD of numbers 993, 478, 506, 917 is 1
Given Input Data is 993, 478, 506, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 478 is 2 x 239
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 917 is 7 x 131
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(993, 478) = 474654
GCD(993, 478) = ( 993 x 478 ) / 474654
GCD(993, 478) = 474654 / 474654
GCD(993, 478) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 993, 478, 506, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 478, 506, 917?
GCD of 993, 478, 506, 917 is 1
2. Where do I get the detailed procedure to find GCD of 993, 478, 506, 917?
You can find a detailed procedure to find GCD of 993, 478, 506, 917 on our page.
3. How to find GCD of 993, 478, 506, 917 on a calculator?
You can find the GCD of 993, 478, 506, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.