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 917, 764, 47, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 764, 47, 499 is 1
GCD(917, 764, 47, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 764, 47, 499 is 1
GCD(917, 764, 47, 499) = 1
Given Input numbers are 917, 764, 47, 499
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 917, 764, 47, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 764, 47, 499 is 1.
Therefore, GCD of numbers 917, 764, 47, 499 is 1
Given Input Data is 917, 764, 47, 499
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 47 is 47
Prime Factorization of 499 is 499
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(917, 764) = 700588
GCD(917, 764) = ( 917 x 764 ) / 700588
GCD(917, 764) = 700588 / 700588
GCD(917, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
GCD(1, 499) = 499 / 499
GCD(1, 499) = 1
GCD of 917, 764, 47, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 764, 47, 499?
GCD of 917, 764, 47, 499 is 1
2. Where do I get the detailed procedure to find GCD of 917, 764, 47, 499?
You can find a detailed procedure to find GCD of 917, 764, 47, 499 on our page.
3. How to find GCD of 917, 764, 47, 499 on a calculator?
You can find the GCD of 917, 764, 47, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.