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 501, 209, 917, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 209, 917, 993 is 1
GCD(501, 209, 917, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 209, 917, 993 is 1
GCD(501, 209, 917, 993) = 1
Given Input numbers are 501, 209, 917, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 501, 209, 917, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 209, 917, 993 is 1.
Therefore, GCD of numbers 501, 209, 917, 993 is 1
Given Input Data is 501, 209, 917, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 209 is 11 x 19
Prime Factorization of 917 is 7 x 131
Prime Factorization of 993 is 3 x 331
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(501, 209) = 104709
GCD(501, 209) = ( 501 x 209 ) / 104709
GCD(501, 209) = 104709 / 104709
GCD(501, 209) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 501, 209, 917, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 209, 917, 993?
GCD of 501, 209, 917, 993 is 1
2. Where do I get the detailed procedure to find GCD of 501, 209, 917, 993?
You can find a detailed procedure to find GCD of 501, 209, 917, 993 on our page.
3. How to find GCD of 501, 209, 917, 993 on a calculator?
You can find the GCD of 501, 209, 917, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.