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 494, 847, 462, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 847, 462, 993 is 1
GCD(494, 847, 462, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 847, 462, 993 is 1
GCD(494, 847, 462, 993) = 1
Given Input numbers are 494, 847, 462, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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 494, 847, 462, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 847, 462, 993 is 1.
Therefore, GCD of numbers 494, 847, 462, 993 is 1
Given Input Data is 494, 847, 462, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(494, 847) = 418418
GCD(494, 847) = ( 494 x 847 ) / 418418
GCD(494, 847) = 418418 / 418418
GCD(494, 847) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 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 494, 847, 462, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 847, 462, 993?
GCD of 494, 847, 462, 993 is 1
2. Where do I get the detailed procedure to find GCD of 494, 847, 462, 993?
You can find a detailed procedure to find GCD of 494, 847, 462, 993 on our page.
3. How to find GCD of 494, 847, 462, 993 on a calculator?
You can find the GCD of 494, 847, 462, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.