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 493, 284, 484, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 284, 484, 217 is 1
GCD(493, 284, 484, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 284, 484, 217 is 1
GCD(493, 284, 484, 217) = 1
Given Input numbers are 493, 284, 484, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 493, 284, 484, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 284, 484, 217 is 1.
Therefore, GCD of numbers 493, 284, 484, 217 is 1
Given Input Data is 493, 284, 484, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 217 is 7 x 31
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(493, 284) = 140012
GCD(493, 284) = ( 493 x 284 ) / 140012
GCD(493, 284) = 140012 / 140012
GCD(493, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 493, 284, 484, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 284, 484, 217?
GCD of 493, 284, 484, 217 is 1
2. Where do I get the detailed procedure to find GCD of 493, 284, 484, 217?
You can find a detailed procedure to find GCD of 493, 284, 484, 217 on our page.
3. How to find GCD of 493, 284, 484, 217 on a calculator?
You can find the GCD of 493, 284, 484, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.