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, 691, 19, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 691, 19, 496 is 1
GCD(493, 691, 19, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 691, 19, 496 is 1
GCD(493, 691, 19, 496) = 1
Given Input numbers are 493, 691, 19, 496
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 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 493, 691, 19, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 691, 19, 496 is 1.
Therefore, GCD of numbers 493, 691, 19, 496 is 1
Given Input Data is 493, 691, 19, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 691 is 691
Prime Factorization of 19 is 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 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, 691) = 340663
GCD(493, 691) = ( 493 x 691 ) / 340663
GCD(493, 691) = 340663 / 340663
GCD(493, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 493, 691, 19, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 691, 19, 496?
GCD of 493, 691, 19, 496 is 1
2. Where do I get the detailed procedure to find GCD of 493, 691, 19, 496?
You can find a detailed procedure to find GCD of 493, 691, 19, 496 on our page.
3. How to find GCD of 493, 691, 19, 496 on a calculator?
You can find the GCD of 493, 691, 19, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.