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 81, 246, 354, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 246, 354, 494 is 1
GCD(81, 246, 354, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 246, 354, 494 is 1
GCD(81, 246, 354, 494) = 1
Given Input numbers are 81, 246, 354, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 81, 246, 354, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 246, 354, 494 is 1.
Therefore, GCD of numbers 81, 246, 354, 494 is 1
Given Input Data is 81, 246, 354, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 494 is 2 x 13 x 19
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(81, 246) = 6642
GCD(81, 246) = ( 81 x 246 ) / 6642
GCD(81, 246) = 19926 / 6642
GCD(81, 246) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
GCD(3, 354) = 1062 / 354
GCD(3, 354) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 494) = 1482
GCD(3, 494) = ( 3 x 494 ) / 1482
GCD(3, 494) = 1482 / 1482
GCD(3, 494) = 1
GCD of 81, 246, 354, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 246, 354, 494?
GCD of 81, 246, 354, 494 is 1
2. Where do I get the detailed procedure to find GCD of 81, 246, 354, 494?
You can find a detailed procedure to find GCD of 81, 246, 354, 494 on our page.
3. How to find GCD of 81, 246, 354, 494 on a calculator?
You can find the GCD of 81, 246, 354, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.