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, 238, 193, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 238, 193, 981 is 1
GCD(494, 238, 193, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 238, 193, 981 is 1
GCD(494, 238, 193, 981) = 1
Given Input numbers are 494, 238, 193, 981
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 494, 238, 193, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 238, 193, 981 is 1.
Therefore, GCD of numbers 494, 238, 193, 981 is 1
Given Input Data is 494, 238, 193, 981
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 238 is 2 x 7 x 17
Prime Factorization of 193 is 193
Prime Factorization of 981 is 3 x 3 x 109
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, 238) = 58786
GCD(494, 238) = ( 494 x 238 ) / 58786
GCD(494, 238) = 117572 / 58786
GCD(494, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 193
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 193) = 386
GCD(2, 193) = ( 2 x 193 ) / 386
GCD(2, 193) = 386 / 386
GCD(2, 193) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 494, 238, 193, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 238, 193, 981?
GCD of 494, 238, 193, 981 is 1
2. Where do I get the detailed procedure to find GCD of 494, 238, 193, 981?
You can find a detailed procedure to find GCD of 494, 238, 193, 981 on our page.
3. How to find GCD of 494, 238, 193, 981 on a calculator?
You can find the GCD of 494, 238, 193, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.